Krzysztof Pomorski

Lodz University of Technology · Institute of Physics

The Bogomolny approach to the Ginzburg–Landau equations in the context of strong and semi-strong necessary conditions is formulated for various superconducting structures in a quasi-one-dimensional description, considering both flat and curved geometries. This formulation is justified by a perturbative approach to the Ginzburg–Landau theory applied...

A derivation of a tight-binding model from Schrödinger formalism for various topologies of position-based semiconductor qubits is presented in the case of static and time-dependent electric fields. The simplistic tight-binding model enables the description of single-electron devices at a large integration scale. The case of two electrostatically Wa...

The model presented by Gabriel Kron in 1945 is an example of an analog computer simulating quantum phenomena on a hardware level. It uses passive RLC elements to construct a hardware solver for the problem of quantum particles confined by rectangular or other classes of potential. The analytical and numerical validation of Kron’s second model is co...

Classical stochastic Conway Game of Life is expressed by the dissipative Schr\"odinger equation and dissipative tight-binding model. This is conducted at the prize of usage of time dependent anomalous non-Hermitian Hamiltonians as with occurrence of complex value potential that do not preserve the normalization of wave-function and thus allows for...

Various superconducting lattices were simulated and can be treated as lattices of superconducting atoms with preimposed symmetry in 1, 2 and 3 dimensions. Hybrid Schroedinger-Ginzburg-Landau approach is based on the fact of the mathematical similarity of Ginzburg-Landau (GL) and Schroedinger formalisms. Starting from Schroedinger approach by change...

Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter, of which Newton’s laws of motion are an example. Energy is introduced as the equivalent of the “Game of Life” mass, which can be treated as the first level of approximati...

Analytical solutions for a tight-binding model are presented for a position-based qubit and N interacting qubits realized by quasi-one-dimensional network of coupled quantum dots expressed by connected or disconnected graphs of any topology in 2 and 3 dimensions where one electron is presented at each separated graphs. Electron(s) quantum dynamic s...

Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter in which Newtons laws of motion are one of examples. Energy has been introduced as the equivalent of the Game of Life mass, which can be treated as first level of approxim...

The equivalence between classical epidemic model and non-dissipative and dissipative quantum tight-binding model is derived. Classical epidemic model can reproduce the quantum entanglement emerging in the case of electrostatically coupled qubits described by von-Neumann entropy both in non-dissipative and dissipative case. The obtained results show...

The mathematical equivalence between finite state stochastic machine and non-dissipative and dissipative quantum tight-binding and Schroedinger model is derived. Stochastic Finite state machine is also expressed by classical epidemic model and can reproduce the quantum entanglement emerging in the case of electrostatically coupled qubits described...

The analysis of superconducting nanowires placed in different electromagnetic environments is presented in the framework of Ginzburg-Landau model. First domain of application of conducted analysis is noninvasive superconducting detectors of charged particles and robust field induced Josephson junctions. Robust field induced Josephson junctions (rFI...

Detection of moving charge in free space is presented in the framework of single electron CMOS devices. It opens the perspective for construction of new type detectors for beam diagnostic in accelerators. General phenomenological model of noise acting on position based qubit implemented in semiconductor quantum dots is given in the framework of sim...

Derivation of tight-binding model from Schroedinger formalism for various topologies of position-based semiconductor qubits is presented in this work in case of static and time-dependent electric fields. Simplistic tight-binding model allows for description of single-electron devices at large integration scale. The case of two electrostatically Wan...

Analytical solutions describing quantum swap and Hadamard gate are given with the use of tight-binding approximation. Decoherence effects are described analytically for 2 interacting electrons confined by local potentials with use of tight-binding simplistic model and in Schroedinger formalism with omission of spin degree of freedom. The obtained r...

Justification of tight-binding model from Schroedinger formalism for various topologies of position-based semiconductor qubits is presented in this work. Simplistic tight-binding model allows for description of single-electron devices at large integration scale.However it is due to the fact that tight-binding model omits the integro-differential eq...

Detection of moving charge in free space is presented in the framework of single electron CMOS devices. It opens the perspective for construction of new type detectors for beam diagnostic in accelerators. General phenomenological model of noise acting on position based qubit implemented in semiconductor quantum dots is given in the framework of sim...

The equivalence between classical epidemic model and nondissipative and dissipative quantum tight-binding model is derived. Classical epidemic model can reproduce the quantum entanglement emerging in the case of electrostatically coupled qubits described by von-Neumann entropy both in non-dissipative and dissipative case. The obtained results shows...

Dynamics of N bodies interacting with quantum cavity is presented. The rotating frame approximation is not used and obtained solutions are the most basic in the framework of generalized Jaynes-Cummings tight-binding model. All presented solutions are entirely analytical and are expressed in terms of elementary functions. Presented scheme can easily...

Non-local communication between position-based qubits is described for a system of a quantum electromagnetic resonator entangled to two semiconductor electrostatic qubits via an interaction between matter and radiation by Jaynes-Cummings tight-binding Hamiltonian. Principle of quantum communication between position-dependent qubits is explained. Fu...

Analytical solutions for a tight-binding model are presented for position-based charge qubits and N-interacting qubits realized by quasi-one-dimensional network of coupled quantum dots (QD) expressed by connected or disconnected graphs of any topology in two and three dimensions where one electron is present at each separated graph. Electron(s) qua...

The interface between superconducting Josephson junction and semiconductor position-based qubit implemented in coupled semiconductor q-dots is described such that it can be the base for electrostatic interface between superconducting and semiconductor quantum computer. Modification of Andreev Bound State in Josephson junction by the presence of sem...

Detection of moving charge in free space is presented in the framework of single electron CMOS devices. It opens the perspective for construction of new type detectors for beam diagnostic in accelerators. General phenomenological model of noise acting on position based qubit implemented in semiconductor quantum dots is given in the framework of sim...

Generalized electrostatic quantum swap gate implemented in the chain of 2 double coupled quantum dots using single electron in semiconductor is presented in tight-binding simplistic model specifying both analytic and numerical results. The anticorrelation principle coming from Coulomb electrostatic repulsion is exploited in single electron devices....

Analytical solutions describing quantum swap and Hadamard gate are given with the use of tight-binding approximation. Decoherence effects are described analytically for two interacting electrons confined by local potentials with use of tight-binding simplistic model and in Schroedinger formalism with omission of spin degree of freedom. The obtained...

Non-local communication among position based qubits is described for the system of the quantum electromagnetic resonator entangled to two semiconductor electrostatic qubits via interaction between matter and radiation by Jaynes-Cummings tight-binding Hamiltonian. Principle of quantum communication between position dependent qubits is explained. Fur...

The fundamental properties of two electrostatically interacting single-electron lines (SEL) are determined from a minimalistic tight-binding model. The lines are represented by a chain of coupled quantum wells that can be implemented in a mainstream nanoscale CMOS process technology and tuned electrostatically by DC or AC voltage biases. The obtain...

This paper discloses a mixed-signal control unit of a fully integrated semiconductor quantum processor SoC realized in a 22nm FD-SOI technology. Independent high-resolution DACs that set the amplitude and pulse-width of the control signals were integrated for each qubit, enabling both a programmable semiconductor qubit operation and a per-qubit ind...

Analytical solutions for tight-binding model are presented for position based qubit and N interacting qubits realized by quasi one dimensional network of coupled quantum dots expressed by connected or disconnected graphs of any topology in 2 and 3 dimensions. Electron(s) quantum dynamical state is described under various electromagnetic circumstanc...

We describe a model of the bi-directional tunneling motion, also referred to as ``shuttle'', of an electron between two quantum dots operating at cryogenic temperatures. The model, written in Verilog-A, is simulated in a Cadence Spectre environment with interfacing elements that constitute a quantum experiment test bench. This method of simulating...

We describe a model of the bi-directional tunneling motion, also referred to as "shuttle", of an electron between two quantum dots operating at cryogenic temperatures. The model, written in Verilog-A, is simulated in a Cadence Spectre environment with interfacing elements that constitute a quantum experiment test bench. This method of simulating a...

Properties of two types of position-dependent electrostatic qubits: eigenenergy-based and Wannier-based, are treated with Schrodinger formalism. Their operating principles are given. The corresponding quantum universal gates for selected qubit types are described and their possible implementation is suggested. The modeling methodology of setting an...

Fundamental properties of two electrostatically interacting single-electron lines (SEL) are determined from a minimalistic tight-binding model. The lines are represented by a chain of coupled quantum wells that could be implemented in a mainstream nanoscale CMOS process technology and tuned electrostatically by DC or AC voltage biases. The obtained...

Considering the enormous advances in nanometer-scale CMOS technology that now allows one to reliably fabricate billions of switching devices on a single silicon die, electrostatically controlled quantum dots (implemented as quantum wells) appear to be promising candidates for a massive implementation of quantum bits (qubits) and quantum logic circu...

Purpose The lack of reliable and scalable superconducting random access memory (RAM) cells is the main obstacle for full implementation of superconducting rapid single flux quantum(RSFQ) computers. This work points the methodology and the structures that shall be used in future implementation of RSFQ RAM. Design/methodology/approach A new design...

The concept of coupled robust field induced Josephson junctions placed in complex electromagnetic environments is presented. Such structures are made by polarization of superconducting nanostructures by magnetic fields. The methodology of modeling of structures and possible implementations is introduced. The presented scheme is expected to implemen...

Quantum devices based on the Josephson effect in superconductors are usually described by a Hamiltonian obtained by commonly used canonical quantization. However, this recipe has not yet been rigorously and systematically justified. We show that this approach is indeed correct in a certain range of parameters. We find the condition of validity of s...

Relaxation method is described on simple superconducting cases in one and two dimensions in Ginzburg-Landau (GL) formalism. The structure of the algorithm is given for the case time independent and time dependent GL equation. The advantages and disadvantages of the algorithm are specified. Particular cases solved by the relaxation algorithm is unco...

Quantum devices based on Josephson effect in superconductors are usually described by a Hamiltonian obtained by commonly used canonical quantization. However, this recipe has not been yet rigorously justified. We show that this approach is indeed correct in certain range of parameters. We find the condition of the validity of such quantization and...

In this paper, the DPL and the MD heat transfer models are implemented in the RESCUER language for thermal simulations of various nanostructures. The application of RESCUER language allows simple and effective description of distributed heat transfer problems using equivalent electrical circuits. In this way, compared to the classic Fourier-Kirchho...

In this paper, the DPL and the MD heat transfer models are implemented in the RESCUER language for thermal simulations of various nanostructures. The application of RESCUER language allows simple and effective description of distributed heat transfer problems using equivalent electrical circuits. In this way, compared to the classic Fourier-Kirchho...

We present the concept of unconventional and Field Induced Josephson junction (uJJ and FIJJ) and devices built from them. They can be made by placement of ferromagnetic strip on top of a superconducting strip. In such case modulation of superconducting order parameter and magnetization is obtained. Furthermore we can build tunable Josephson junctio...

The aim of this study was to develop and validate a novel motion simulator technique for generating a realistic physical human jump movement. To achieve this goal, we used a physically modeled computer simulation that employed a 3D neuro-musculo-skeletal model and a forward dynamics approach. The simulation consisted of all the important features o...

We demonstrate the possible existence of a new class of superconducting Josephson junctions (JJs) named field-induced Josephson junctions (FIJJs). One representative is a junction made by placing a ferromagnetic strip on the top of a superconducting strip, which we study in this work. We obtain a possible transition between one regime of an FIJJ, w...

The aim of this study was to quantify the importance of biarticular muscles on vertical squat jump. In order to do that, we used a neuromusculoskeletal model and a forward dynamics computer simulation. In separate trials biarticular muscles were removed from the neuromusculoskeletal model, firstly only one muscle was removed each trial, and then al...

We present the theoretical approach to study the unconventional Josephson junction (uJJ) made by putting the non-superconducting strip on the top of superconducting strip. We work in the framework of the Ginzburg-Landau, Bogoliubov de Gennes and Usadel equations. Then we solve the non-linear partial differential equations numerically for few simple...

We present the theoretical approach to study the unconventional Josephson junction (uJJ) made by putting the non-superconduncting strip on the top of superconducting strip. We work in the framework of the Ginzburg-Landau, Bogoliubov de Gennes and Usadel formalisms. We solve the non-linear parital differential equations numerically for few simple ca...

Purpose. Vertical squat jump performance critically depends on precise muscle control. The control in jump is performed dominantly in feedforward manner, wherein preprogrammed nerve impulse volleys (muscle activation patterns) are sent by the central nervous system to excite muscles in specific sequence, time and amplitude. The purpose of present s...