Wen-Li Yang

Northwest University, Ch’ang-an, Shaanxi, China

Are you Wen-Li Yang?

Claim your profile

Publications (126)271.71 Total impact

  • [Show abstract] [Hide abstract]
    ABSTRACT: An orthogonal basis of the Hilbert space for the quantum spin chain associated with the su(n) algebra is introduced. Such kind of basis could be treated as a nested generalization of separation of variables (SoV) basis for high-rank quantum integrable models. It is found that each basis vector is in fact an off-shell Bethe state with entries of generators taking values in a fixed set of inhomogeneity parameters $\{\theta_j|j=1,\cdots,N\}$, and all the monodromy-matrix elements acting on a basis vector take simple forms. This finding allows one to construct similar basis for other high-rank quantum integrable models in the framework of algebraic Bethe Ansatz. As an example of application of such kind of basis, we construct exact eigenstates of the su(3) spin torus (the trigonometric su(3) spin chain with antiperiodic boundary condition) based on its spectrum obtained via off-diagonal Bethe Ansatz (ODBA).
    No preview · Article · Jan 2016
  • [Show abstract] [Hide abstract]
    ABSTRACT: The trigonometric su(n) spin chain with anti-periodic boundary condition (su(n) spin torus) is demonstrated to be Yang-Baxter integrable. Based on some intrinsic properties of the R-matrix, certain operator product identities of the transfer matrix are derived. These identities and the asymptotic behavior of the transfer matrix together allow us to obtain the exact eigenvalues in terms of an inhomogeneous T-Q relation via the off-diagonal Bethe Ansatz.
    No preview · Article · Jan 2016
  • Source
    Liang Duan · Zhan-Ying Yang · Chong Liu · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: Prolific interactions of nonlinear waves on a plane-wave background in an erbium-doped fiber system are unveiled, based on explicit coexistence conditions extracting from the general higher-order solution of a coupled nonlinear Schr\"{o}dinger and the Maxwell-Bloch equations. In contrast to previous results, it shows that rich different types of nonlinear waves can coexist and interact with each other. In particular, we reveal an interesting kind of shape-changing collision, in which the multi-peak solitons exhibit intensity redistribution characteristics. This interaction involves the mutual collision between multi-peak solitons as well as the interplay of multi-peak soliton and other types of localized nonlinear waves (breather and antidark soliton). We find that the shape-changing collision preserves the power of each multi-peak soliton, which is verified via optimal numerical integration for the energy of light pulse against the plane-wave background. Our results demonstrate that when the interactions occur, each multi-peak soliton exhibits the coexistence of the shape change and energy conservation.
    Full-text · Article · Jan 2016
  • Source
    Quan Quan · Huangjun Zhu · Heng Fan · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: Einstein-Podolsky-Rosen (EPR) steering is an intermediate type of quantum nonlocality which lies between entanglement and Bell nonlocality. It is interesting to know what kind of states can generate EPR nonlocal correlations in the simplest nontrivial scenario, that is, two projective measurements for each party that share a two-qubit state. In this paper we settle this problem by deriving a necessary and sufficient analytical criterion. It turns out that a two-qubit state can demonstrate EPR nonlocal correlations in this scenario iff it can demonstrate Bell nonlocal correlations. This phenomenon is in sharp contrast with the strict hierarchy expected between the two forms of nonlocality. However, the strict hierarchy can emerge if both parties are restricted to performing mutually unbiased measurements. In addition, we clarify the relationships between entanglement, steering, and Bell nonlocality. In our study, we introduce the concept of restricted local hidden state models, which is useful in connecting different steering scenarios and is of interest in a wider context.
    Preview · Article · Jan 2016
  • [Show abstract] [Hide abstract]
    ABSTRACT: We investigate the steerability of two-qubit Bell-diagonal states under projective measurements by the steering party. In the simplest nontrivial scenario of two projective measurements, we solve this problem completely by virtue of the connection between the steering problem and the joint-measurement problem. A necessary and sufficient criterion is derived together with a simple geometrical interpretation. Our study shows that a Bell-diagonal state is steerable by two projective measurements iff it violates the Clauser-Horne-Shimony-Holt (CHSH) inequality, in sharp contrast with the strict hierarchy expected between steering and Bell nonlocality. We also introduce a steering measure and clarify its connections with concurrence and the volume of the steering ellipsoid. In particular, we determine the maximal concurrence and ellipsoid volume of Bell-diagonal states that are not steerable by two projective measurements. Furthermore, we explore the steerability of Bell-diagonal states under three projective measurements. A simple sufficient criterion is derived, which can detect the steerability of many states that are not steerable by two projective measurements. Finally, we generalize some of our results to arbitrary two-qubit states. Our study offers valuable insight on steering of Bell-diagonal states as well as the connections between entanglement, steering, and Bell nonlocality.
    No preview · Article · Jan 2016
  • Liang Duan · Zhan-Ying Yang · Chong Liu · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: We study rogue waves in an inhomogeneous nonlinear optical fiber with variable coefficients. An exact rogue wave solution that describes rogue wave excitation and modulation on a bright soliton pulse is obtained. Special properties of rogue waves on the bright soliton, such as the trajectory and spectrum, are analyzed in detail. In particular, our analytical results suggest a way of sustaining the peak shape of rogue waves on the soliton background by choosing an appropriate dispersion parameter.
    No preview · Article · Jan 2016 · Chinese Physics Letters
  • Source
    Xin Zhi-Rong · Yang Tao · Hao Kun · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: The Bose–Hubbard model is a paradigm for the study of strongly correlated bosonic systems. We study the two-site Bose–Hubbard model with generic integrable open boundaries specified by the most general non-diagonal reflecting matrices. Besides the inhomogeneous parameters, the model itself has three free boundary parameters, which break the U(1)-symmetry, in other words, break the particle number conservation. The Hamiltonian H under these circumstances is constructed. With the help of the off-diagonal Bethe Ansatz method, we successfully obtain the corresponding Bethe Ansatz equations as well as the eigenvalues.
    Full-text · Article · Dec 2015 · Communications in Theoretical Physics
  • [Show abstract] [Hide abstract]
    ABSTRACT: We investigate the relationship between two kinds of ground-state local convertibility and quantum phase transitions in XY model. The local operations and classical communications (LOCC) convertibility is examined by the majorization relations and the entanglement-assisted local operations and classical communications (E- LOCC) via Renyi entropy interception. In the phase diagram of XY model, LOCC convertibility and ELOCC convertibility of ground-states are presented and compared. It is shown that different phases in the phase dia- gram of XY model can have different LOCC or ELOCC convertibility, which can be used to detect the quantum phase transition. This study will enlighten extensive studies of quantum phase transitions from the perspective of local convertibility, e.g., finite-temperature phase transitions and other quantum many-body models.
    No preview · Article · Oct 2015
  • Source
    Yang Ren · Zhan-Ying Yang · Chong Liu · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: We study nonlinear waves on a plane-wave background in an erbium-doped fiber system, which is governed by the coupled nonlinear Schr\"odinger and the Maxwell-Bloch equations. We find that prolific different types of nonlinear localized and periodic waves do exist in the system, including multi-peak soliton, periodic wave, antidark soliton, and W-shaped soliton (as well as the known bright soliton, breather, and rogue wave). In particular, the dynamics of these waves can be extracted from a unified exact solution, and the corresponding existence conditions are presented explicitly. Our results demonstrate the structural diversity of the nonlinear waves in this system.
    Full-text · Article · Sep 2015 · Physics Letters A
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Based on the inhomogeneous T-Q relation and the associated Bethe Ansatz equations obtained via the off-diagonal Bethe Ansatz, we construct the Bethe-type eigenstates of the SU(2)-invariant spin-s chain with generic non-diagonal boundaries by employing certain orthogonal basis of the Hilbert space.
    Full-text · Article · Aug 2015 · Journal of Physics A Mathematical and Theoretical
  • Source
    Chong Liu · Zhan-Ying Yang · Li-Chen Zhao · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: We study vector localized waves on continuous wave background with higher-order effects in a two-mode optical fiber. The striking properties of transition, coexistence, and interaction of these localized waves arising from higher-order effects are revealed in combination with corresponding modulation instability (MI) characteristics. It shows that these vector localized wave properties have no analogues in the case without higher-order effects. Specifically, compared to the scalar case, an intriguing transition between bright–dark rogue waves and w-shaped–anti-w-shaped solitons, which occurs as a result of the attenuation of MI growth rate to vanishing in the zero-frequency perturbation region, is exhibited with the relative background frequency. In particular, our results show that the w-shaped–anti-w-shaped solitons can coexist with breathers, coinciding with the MI analysis where the coexistence condition is a mixture of a modulation stability and MI region. It is interesting that their interaction is inelastic and describes a fusion process. In addition, we demonstrate an annihilation phenomenon for the interaction of two w-shaped solitons which is identified essentially as an inelastic collision in this system.
    Full-text · Article · Aug 2015 · Annals of Physics
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We consider the integrable open-chain transfer matrix corresponding to a Y=0 brane at one boundary, and a Y_theta=0 brane (rotated with the respect to the former by an angle theta) at the other boundary. We determine the exact eigenvalues of this transfer matrix in terms of solutions of a corresponding set of Bethe equations.
    Full-text · Article · Jul 2015 · Journal of High Energy Physics
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The generic quantum $\tau_2$-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix (solutions of the recursive functional relations in $\tau_j$-hierarchy) with generic site-dependent inhomogeneity parameters are given in terms of an inhomogeneous T-Q relation with polynomial Q-functions. The associated Bethe Ansatz equations are obtained. Numerical solutions of the Bethe Ansatz equations for small number of sites indicate that the inhomogeneous T-Q relation does indeed give the complete spectrum.
    Preview · Article · Jul 2015 · Journal of High Energy Physics
  • Source
    Yupeng Wang · Wen-Li Yang · Junpeng Cao · Kangjie Shi
    [Show abstract] [Hide abstract]
    ABSTRACT: The off-diagonal Bethe Ansatz method [1] is used to revisit the periodic XXX Heisenberg spin-1/2 chain. It is found that the spectrum of the transfer matrix can be characterized by an inhomogeneous T-Q relation, a natural but nontrivial extension of Baxter's T-Q relation [2].
    Preview · Article · Jun 2015
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The small polaron, aone-dimensional lattice model of interacting spinless fermions, with generic nondiagonal boundary terms is studied by the off-diagonal Bethe ansatz method. The presence of the Grassmann valued non-diagonal boundary fields gives rise to a typical U(1)-symmetry-broken fermionic model. The exact spectra of the Hamiltonian and the associated Bethe ansatz equations are derived by constructing an inhomogeneous T-Qrelation. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.
    Preview · Article · Mar 2015 · Nuclear Physics B
  • Source
    Quan Quan · Shao-Ming Fei · Heng Fan · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: We investigate two-channel scenarios of optimal quantum teleportation based on Bell measurements and GHZ measurements. The detailed protocols are presented and the general expressions of the optimal teleportation fidelities are derived, which turn out to be functions of two-channel fully entangled fractions -- invariants under local unitary transformations. We prove that the set of states which are useful for two-channel teleportation is convex and compact. Hence witness operators exist to separate states that are useful for optimal teleportation from the rest ones. Moreover, we show that our two-channel teleportation fidelity is better than the usual one channel ones. The corresponding experimental schemes for two-channel teleportation of photon states are also presented.
    Preview · Article · Mar 2015
  • Source
    Chong Liu · Zhan-Ying Yang · Li-Chen Zhao · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: The state transition between the Peregrine rogue wave and W-shaped traveling wave induced by higher-order effects and background frequency is studied. We find that this intriguing transition, described by an exact explicit rational solution, is consistent with the modulation instability (MI) analysis that involves a MI region and a stability region in a low perturbation frequency region. In particular, the link between the MI growth rate and the transition characteristic analytically demonstrates that the localization characteristic of transition is positively associated with the reciprocal of the zero-frequency growth rate. Furthermore, we investigate the case for nonlinear interplay of multilocalized waves. It is interesting that the interaction of second-order waves in the stability region features a line structure rather than an elastic interaction between two W-shaped traveling waves.
    Full-text · Dataset · Feb 2015
  • Source
    Kun Hao · Junpeng Cao · Tao Yang · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: The XXX Gaudin model with generic integrable open boundaries specified by the most general non-diagonal reflecting matrices is studied. Besides the inhomogeneous parameters, the associated Gaudin operators have six free parameters which break the U(1)- symmetry. With the help of the off-diagonal Bethe ansatz, we successfully obtained the eigenvalues of these Gaudin operators and the corresponding Bethe ansatz equations.
    Full-text · Article · Jan 2015 · Annals of Physics
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz (ODBA), the Bethe-type eigenstates of the XXZ spin-1/2 chain with arbitrary boundary fields are constructed. It is found that by employing two sets of gauge transformations, proper generators and reference state for constructing Bethe vectors can be obtained respectively. Given an inhomogeneous T-Q relation for the eigenvalue, it is proven that the resulting Bethe state is an eigenstate of the transfer matrix, provided that the parameters of the generators satisfy the associated Bethe Ansatz equations.
    Full-text · Article · Dec 2014 · Nuclear Physics B
  • Source
    Chong Liu · Zhan-Ying Yang · Li-Chen Zhao · Wen-Li Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: State transition between the Peregrine rogue wave and w-shaped traveling wave induced by higher-order effects and background frequency is studied. We find that this intriguing transition, described by an exact explicit rational solution, is consistent with the modulation instability (MI) analysis that involves MI region and stability region in low perturbation frequency region. In particular, the link between the MI growth rate and transition characteristic analytically demonstrates that, the size characteristic of transition is positively associated with the reciprocal of zero-frequency growth rate. Further, we investigate the case for nonlinear interplay of multi-localized waves. It is interesting that the interaction of second-order waves in stability region features a line structure, rather than an elastic interaction between two w-shaped traveling waves.
    Full-text · Article · Nov 2014 · Physical Review E

Publication Stats

939 Citations
271.71 Total Impact Points

Institutions

  • 1993-2016
    • Northwest University
      • Department of Physics
      Ch’ang-an, Shaanxi, China
  • 1997-2014
    • Northwest University
      Northwest Harborcreek, Pennsylvania, United States
  • 1999-2009
    • University of Queensland
      • School of Mathematics and Physics
      Brisbane, Queensland, Australia
  • 2005
    • Beijing Institute Of Technology
      • School of Physics
      Peping, Beijing, China
  • 2001-2002
    • University of Bonn
      • Physics Institute
      Bonn, North Rhine-Westphalia, Germany