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September 2018 - present
February 2017 - August 2018
January 2016 - December 2016
Publications
Publications (59)
Shot noise measurements in quantum point contacts are a powerful tool to investigate charge transport in the integer and fractional quantum Hall regime, in particular to unveil the charge, quantum statistics and tunneling dynamics of edge excitations. In this letter, we describe shot noise measurements in a graphene quantum point contact in the qua...
In this short communication we reply to the comment by Xu and Li (arXiv:2411.04132) on our first work on Dicke quantum batteries (Phys. Rev. Lett. 120, 117702 (2018)).
The current fluctuations due to a temperature bias, i.e. the delta-$T$ noise, allow one to access properties of strongly interacting systems which cannot be addressed by the usual voltage-induced noise. In this work, we study the full delta-$T$ noise between two different fractional quantum Hall edge states, with filling factors $(\nu_L,\nu_R)$ in...
We study the quantum fluctuations of the two quadratures of the emitted electromagnetic radiation generated by a quantum Hall device in a quantum point contact geometry. In particular, we focus our attention on the role played by the unavoidable electron-electron interactions between the two edge channels at filling factor two. We investigate quant...
We theoretically investigate the evolution of the peak height of an energy resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor $\nu=2$. This is ultimately related to the elastic scattering amplitude for the fermionic excitations evaluated at different injection energy. We investigate...
We investigate the effects of spin-momentum locking on the interference and diffraction pattern due to a double- or single-slit in an electronic $\textit{Gedankenexperiment}$. We show that the inclusion of the spin-degree-of-freedom, when coupled to the motion direction of the carrier - a typical situation that occurs in systems with spin-orbit int...
The one-dimensional, chiral edge channels of the quantum Hall effect are a promising platform in which to implement electron quantum optics experiments; however, Coulomb interactions between edge channels are a major source of decoherence and energy relaxation. It is therefore of large interest to understand the range and limitations of the simple...
We consider a quantum battery modeled as a set of N independent two-level quantum systems driven by a time dependent classical source. Different figures of merit, such as stored energy, time of charging and energy quantum fluctuations during the charging process, are characterized in a wide range of parameters, by means of numerical approach and su...
We consider a Hong-Ou-Mandel interferometer for Lorentzian voltage pulses applied to Quantum Hall edge channels at filling factor $\nu=2$. Due to inter-edge interactions, the injected electronic wave-packets fractionalize before partitioning at a quantum point contact. Remarkably enough, differently from what theoretically predicted and experimenta...
Recently there has been a great deal of interest on the possibility to exploit quantum-mechanical effects to increase the performance of energy storage systems. Here we introduce and solve a model of a quantum supercapacitor. This consists of two chains, one containing electrons and the other one holes, hosted by arrays of double quantum dots, the...
We review and develop recent results regarding Leviton excitations generated in topological states of matter - such as integer and fractional quantum Hall edge channels - and carrying a charge multiple of the electronic one. The peculiar features associated to these clean and robust emerging excitations can be detected through current correlation m...
A mesoscopic device in the simple tunnel junction or quantum point contact geometry emits microwaves with remarkable quantum properties, when subjected to a sinusoidal drive in the GHz range. In particular, single and two-photon squeezing as well as entanglement in the frequency domain have been reported. By revising the photo-assisted noise analys...
A mesoscopic device in the simple tunnel junction or quantum point contact geometry emits microwaves with remarkable quantum properties, when subjected to a sinusoidal drive in the GHz range. In particular, single and two-photon squeezing as well as entanglement in the frequency domain have been reported. By revising the photo-assisted noise analys...
Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We find a regular pattern of peaks and valleys, reminiscent of analogous self-organization recently observed for...
We study the photoassisted shot noise generated by a periodic voltage in the fractional quantum Hall regime. Fluctuations of the current are due to the presence of a quantum point contact operating in the weak backscattering regime. We show how to reconstruct the photoassisted absorption and emission probabilities by varying independently the dc an...
Quantum information theorems state that it is possible to exploit collective quantum resources to greatly enhance the charging power of quantum batteries (QBs) made of many identical elementary units. We here present and solve a model of a QB that can be engineered in solid-state architectures. It consists of N two-level systems coupled to a single...
We investigate minimal excitation states for heat transport into a fractional quantum Hall system driven out of equilibrium by means of time-periodic voltage pulses. A quantum point contact allows for tunneling of fractional quasi-particles between opposite edge states, thus acting as a beam splitter in the framework of the electron quantum optics....
We consider transport properties of a two dimensional topological insulator in a double quantum point contact geometry in presence of a time-dependent external field. In the proposed setup an external gate is placed above a single constriction and it couples only with electrons belonging to the top edge. This asymmetric configuration and the presen...
We consider transport properties of a two dimensional topological insulator in a double quantum point contact geometry in presence of a time-dependent external field. In the proposed setup an external gate is placed above a single constriction and it couples only with electrons belonging to the top edge. This asymmetric configuration and the presen...
The analog of two seminal quantum optics experiments are considered in a condensed matter setting with single electron sources injecting electronic wave packets on edge states coupled through a quantum point contact. When only one electron is injected, the measurement of noise correlations at the output of the quantum point contact corresponds to t...
The analog of two seminal quantum optics experiments are considered in a condensed matter setting with single electron sources injecting electronic wave packets on edge states coupled through a quantum point contact. When only one electron is injected, the measurement of noise correlations at the output of the quantum point contact corresponds to t...
We study the decoherence and relaxation of a single elementary electronic excitation propagating in a one-dimensional chiral conductor. Using two-particle interferences in the electronic analog of the Hong-Ou-Mandel experiment, we analyze quantitatively the decoherence scenario of a single electron propagating along a quantum Hall edge channel at f...
We study the decoherence and relaxation of a single elementary electronic excitation propagating in a one-dimensional chiral conductor. Using two-particle interferences in the electronic analog of the Hong-Ou-Mandel experiment, we analyze quantitatively the decoherence scenario of a single electron propagating along a quantum Hall edge channel at f...
We investigate a Fabry-P\'erot interferometer in the integer Hall regime in
which only one edge channel is transmitted and n channels are trapped into the
interferometer loop. Addressing recent experimental observations, we assume
that Coulomb blockade effects are completely suppressed due to screening, while
keeping track of a residual strong shor...
We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with quantized flux. They carry an integer charge, thus involving several Laughlin quasiparticles, and leave a Poiss...
We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with quantized flux. They carry an integer charge, thus involving several Laughlin quasiparticles, and leave a Poiss...
Engineering and studying few-electron states in ballistic conductors is a key step towards understanding entanglement in quantum electronic systems. In this paper, we introduce the intrinsic two-electron coherence of an electronic source in quantum Hall edge channels and relate it to two-electron wavefunctions and to current noise in an Hanbury Bro...
We investigate the finite frequency noise of a quantum point contact at
filling factor {\nu} = 5/2 using a weakly coupled resonant LC circuit as a
detector. We show how one could spectroscopically address the fractional
charged excitations inspecting separately their charge and scaling dimensions.
We thus compare the behaviour of the Pfaffian and t...
We investigate the finite frequency noise of a quantum point contact at filling factor {\nu} = 5/2 using a weakly coupled resonant LC circuit as a detector. We show how one could spectroscopically address the fractional charged excitations inspecting separately their charge and scaling dimensions. We thus compare the behaviour of the Pfaffian and t...
Engineering and studying few-electron states in ballistic conductors is a key
step towards understanding entanglement in quantum electronic systems. In this
Letter, we introduce the intrinsic two-electron coherence of an electronic
source in quantum Hall edge channels and relate it to two-electron
wavefunctions and to current noise in an Hanbury Br...
We propose a device consisting in an antidot periodically driven in time by a
magnetic field as a fractional quantum Hall counterpart of the celebrated
mesoscopic capacitor-based single electron source. We fully characterize the
setup as an ideal emitter of individual quasiparticles and electrons into
fractional quantum Hall edge channels of the La...
We consider a device which allows to create and probe single Majorana
fermions, in the form of Bogoliubov quasiparticles. It is composed of two
counter-propagating edge channels, each put in proximity with a superconducting
region where Andreev reflection operates, and which thus converts electrons
into Bogoliubov quasiparticles. The edge channels...
We study the finite frequency (F.F.) noise properties of edge states in the Laughlin
state. We investigate the model of a resonant detector coupled to a quantum point contact in
the weak-backscattering limit. In particular we discuss the impact of possible renormalization
of the Luttinger exponent, due to environmental effects, on the measured quan...
Quantum Hall edge channels at integer filling factor provide a unique
test-bench to understand decoherence and relaxation of single electronic
excitations in a ballistic quantum conductor. In this Letter, we obtain a full
visualization of the decoherence scenario of energy (Landau) and time (Levitov)
resolved single electron excitations at filling...
We investigate the finite frequency (f.f.) noise properties of edge states in
the quantum Hall regime. We consider the measurement scheme of a resonant
detector coupled to a quantum point contact in the weak-backscattering limit. A
detailed analysis of the difference between the "measured" noise, due to the
presence of the resonant detector, and th...
The edge channels of the quantum Hall effect provide one dimensional chiral and ballistic wires along which electrons can be guided in optics like setup. Electronic propagation can then be analyzed using concepts and tools derived from optics. After a brief review of electron optics experiments performed using stationary current sources which conti...
The edge states of a two-dimensional topological insulator are characterized
by their helicity, a very remarkable property which is related to the
time-reversal symmetry and the topology of the underlying system. We
theoretically investigate a Hong-Ou-Mandel like setup as a tool to probe it.
Collisions of two electrons with the same spin show a Pau...
We discuss how the presence of environmental effects and quasiparticle agglomerates could better reconcile the edge states theories with the experimental observations for the case of nu = 5/2. The Pfaffian and the anti-Pfaffian models will be compared in connection with experimental results identifying the latter as the best candidate.
Recent electron quantum optics experiments performed with on-demand single
electron sources call for a mixed time/frequency approach to electronic quantum
coherence. Here, we present a Wigner function representation of first order
electronic coherence and show that is provides a natural visualization of the
excitations emitted by recently demonstra...
We study the DC spin current induced into an unbiased quantum spin Hall
system through a two-point contacts setup with time dependent electron
tunneling amplitudes. By means of two external gates, it is possible to drive a
current with spin-preserving and spin-flipping contributions showing peculiar
oscillations as a function of pumping frequency,...
We study an electrically controlled quantum spin Hall antidot embedded in a
two-dimensional topological insulating bar. Helical edge states around the
antidot and along the edges of the bar are tunnel coupled. The close connection
between spin and chirality, typical of helical systems, allows to generate a
spin-polarized current flowing across the...
We calculate the dominant excitations for the $k$-level ($k\in\mathbb{N}$)
Read-Rezayi (RR) states and their particle-hole conjugates, the anti
Read-Rezayi ($\bar{\textrm{RR}}$), proposed for quantum Hall states. These
states are supposed to be build over the second Landau level with total filling
factor $\nu=2+\nu^*$ with $\nu^*=k/(k+2)$ for RR an...
We investigate the properties of the finite-frequency noise in a quantum
point contact geometry for the fractional quantum Hall state at a
filling factor ν = 2/5. The results are obtained in the framework of
Wen's hierarchical model. We show that the peak structure of the colored
noise allows us to discriminate among different possible excitations...
We propose a general mechanism for the renormalization of the tunnelling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/f noise and dissipation are considered for both the Laughlin sequence and the composite co- and counter-propagating edge states with Abelian or non-Abelian...
We investigate the electrical switching of charge and spin transport in a
topological insulator nanoconstriction in a four terminal device. The switch of
the edge channels is caused by the coupling between edge states which overlap
in the constriction and by the tunneling effects at the contacts and therefore
can be manipulated by tuning the applie...
We consider a quantum spin Hall system in a two-terminal setup, with an
extended tunneling contact connecting upper and lower edges. We analyze the
effects of this geometry on the backscattering current as a function of
voltage, temperature, and strength of the electron interactions. We find that
this configuration may be useful to confirm the heli...
We present a detailed analysis of finite frequency noise for the $\nu=5/2$
fractional quantum Hall state in a quantum point contact geometry. The results
are obtained within the Pfaffian and anti-Pfaffian models. We show that the
behaviour of the coloured noise allows unambigously to discriminate among
tunneling excitations with different charges....
We present a field theoretical analysis of the 2+1 dimensional BF model with
boundary in the Abelian and the non-Abelian case based on the Symanzik's
separability condition. In both cases on the edges we obtain Ka\v{c}--Moody
algebras with opposite chiralities reflecting the time reversal invariance of
the theory. While the Abelian case presents an...
We propose a $\mathbb{Z}_{2}$ classification of Abelian time-reversal
fractional topological insulators in terms of the composite fermions picture.
We consider the standard toy model where spin up and down electrons are
subjected to opposite magnetic fields and only electrons of the same spin
interact via a repulsive force. By applying the composit...
We explain effective charge anomalies recently observed for fractional
quantum Hall edge states at \nu=5/2 [M. Dolev, Y. Gross, Y. C. Chung, M.
Heiblum, V. Umansky, and D. Mahalu, Phys. Rev. B. \textbf{81}, 161303(R)
(2010)]. The experimental data of differential conductance and excess noise are
fitted, using the anti-Pfaffian model, demonstrating...
We explain effective charge anomalies recently observed for fractional quantum Hall edge states at ν=5/2 [M. Dolev, Y. Gross, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Phys. Rev. B 81, 161303(R) (2010)]. The experimental data of differential conductance and excess noise are fitted, using the anti-Pfaffian model, by properly taking into ac...
We explain effective charge anomalies recently observed for fractional quantum Hall edge states at $\nu=5/2$ [M. Dolev, Y. Gross, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Phys.Rev. B. \textbf{81}, 161303(R) (2010)]. The experimental data of differential conductance and excess noise are fitted, using the anti-Pfaffian model, by properly t...
We explain recent experimental observations on effective charge of edge states tunneling through a quantum point contact in the weak backscattering regime. We focus on the behavior of the excess noise and on the effective tunneling charge as a function of temperature and voltage. By introducing a minimal hierarchical model different filling factors...
The dynamics of neutral modes for fractional quantum Hall states is investigated for a quantum point contact geometry in the weak-backscattering regime. The effective field theory introduced by Fradkin–Lopez for edge states in the Jain sequence is generalized to the case of propagating neutral modes. The dominant tunnelling processes are identified...
We investigate the dynamics of quasiparticle agglomerates in edge states of the Jain sequence for \nu=2/5. Comparison of the Fradkin-Lopez model with the Wen one is presented within a field theoretical construction, focusing on similarities and differences. We demonstrate that both models predict the same universal role for the multiple-quasipartic...
The method of separability, introduced by Symanzik, is applied in order to describe the effect of a boundary for a fractional quantum Hall liquid in the Laughlin series. An Abelian Chern-Simons theory with plane boundary is considered and the Green functions both in the bulk and on the edge are constructed, following a rigorous, perturbative, quant...
We present an explanation for the anomalous behavior in tunneling conductance and noise through a point contact between edge states in the Jain series nu=p/(2np+1), for extremely weak backscattering and low temperatures [Y. C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. 91, 216804 (2003)10.1103/PhysRevLett.91.216804]. We consider edge state...
The method of separability, introduced by Symanzik, is applied in order to describe the effect of a boundary for a fractional quantum Hall liquid in the Laughlin series. An Abelian Chern‐Simons theory with plane boundary is considered and the Green functions both in the bulk and on the edge are constructed, following a rigorous, perturbative, quant...
