Wen-Li Yang

Northwest University, Northwest Harborcreek, Pennsylvania, United States

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Publications (113)205.04 Total impact

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    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.
    12/2014;
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    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.
    11/2014;
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    ABSTRACT: With the XXZ spin chains as examples, we demonstrate two theorems: (1) the functional relations derived from the off-diagonal Bethe Ansatz scheme are the sufficient and necessary conditions to characterize the complete spectrum of the corresponding transfer matrix; (2) each eigenvalue of the transfer matrix can be parameterized by a minimal inhomogeneous T-Q relation. The demonstration can be generalized to other finite-dimensional quantum integrable models.
    09/2014;
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    ABSTRACT: The integrable XXZ alternating spin chain with generic non-diagonal boundary terms specified by the most general non-diagonal K-matrices is studied via the off-diagonal Bethe Ansatz method. Based on the intrinsic properties of the fused R-matrices and K-matrices, we obtain certain closed operator identities and conditions, which allow us to construct an inhomogeneous T-Q relation and the associated Bethe Ansatz equations accounting for the eigenvalues of the transfer matrix.
    09/2014;
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    Kun Hao, Junpeng Cao, Tao Yang, Wen-Li Yang
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    ABSTRACT: The XXX Gaudin model with generic integrable boundaries specified by the most general non-diagonal K-matrices is studied by the off-diagonal Bethe ansatz method. The eigenvalues of the associated Gaudin operators and the corresponding Bethe ansatz equations are obtained.
    08/2014;
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    ABSTRACT: Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe ansatz (ODBA), a systematic method for retrieving the Bethe-type eigenstates of integrable models is developed by employing an orthogonal basis of the Hilbert space. With the XXZ spin torus model as an example, we show that for a given inhomogeneous T-Q relation and the associated Bethe ansatz equations (BAEs), a corresponding Bethe-type eigenstate of the transfer matrix exists. It is found that in contrast to the usual ones, the derived reference state is no longer a pure state but a highly entangled many-body state. The corresponding off-shell scalar products are also obtained in the same framework.
    07/2014;
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    ABSTRACT: We investigate the distribution property of one way discord in multipartite system by introducing the concept of polygamy deficit for one way discord. The difference between one way discord and quantum discord is analogue to the difference between entanglement of assistance and entanglement of formation. For tripartite pure states, two kinds of polygamy deficits are presented with the equivalent expressions and physical interpretations regardless of measurement. For four-partite pure states, we provide a condition which makes one way discord polygamy being satisfied. Those results can be applicable to multipartite quantum systems and are complementary to our understanding of the shareability of quantum correlations.
    07/2014;
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    ABSTRACT: We study the relationship between the behavior of global quantum correlations and quantum phase transitions in XY model. We find that the two kinds of phase transitions in the studied model can be characterized by the features of global quantum discord (GQD) and the corresponding quantum correlations. We demonstrate that the maximum of the sum of all the nearest neighbor bipartite GQDs is effective and accurate for signaling the Ising quantum phase transition, in contrast, the sudden change of GQD is very suitable for characterizing another phase transition in the XY model. This may shed lights on the study of properties of quantum correlations in different quantum phases.
    05/2014;
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    ABSTRACT: The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s Heisenberg chain model with generic integrable boundaries as an example. With the fusion technique, certain closed operator identities for constructing the functional T-Q relations and the Bethe ansatz equations are derived. It is found that a variety of inhomogeneous T-Q relations obeying the operator product identities can be constructed. Numerical results for two-site s=1 case indicate that any choice of these T-Q relations gives the complete set of spectrum of the transfer matrix.
    05/2014;
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    ABSTRACT: The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s Heisenberg chain model with generic integrable boundaries as an example. With the fusion technique, certain closed operator identities for constructing the functional T-Q relations and the Bethe ansatz equations are derived. It is found that a variety of inhomogeneous T-Q relations obeying the operator product identities can be constructed. Numerical results for two-site s=1 case indicate that an arbitrary choice of the derived T-Q relations is enough to give the complete spectrum of the transfer matrix.
    04/2014;
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    ABSTRACT: The Izergin-Korepin model with general non-diagonal boundary terms, a typical integrable model beyond A-type and without U(1)-symmetry, is studied via the off-diagonal Bethe ansatz method. Based on some intrinsic properties of the R-matrix and the K-matrices, certain operator product identities of the transfer matrix are obtained at some special points of the spectral parameter. These identities and the asymptotic behaviors of the transfer matrix together allow us to construct the inhomogeneous T-Q relation and the associated Bethe ansatz equations. In the diagonal boundary limit, the reduced results coincide exactly with those obtained via other methods.
    Journal of High Energy Physics 03/2014; 2014(6). · 5.62 Impact Factor
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    ABSTRACT: We study optical rogue waves (RWs) in a nonlinear graded-index waveguide with variable coefficients. An exact RW solution on Gaussian background beam is presented, in contrast to the previous studies about RWs, on plane wave background. It is shown that the characteristics of RWs are maintained on Gaussian background beam and that the beam's width is even a bit smaller than the RWs scale. These results may raise the possibility of related experiments and potential applications in nonlinear optics.
    Optics Letters 02/2014; 39(4):1057-60. · 3.39 Impact Factor
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    ABSTRACT: A systematic method is proposed for dealing with the thermodynamic limit of the off-diagonal Bethe ansatz (ODBA) solvable models. The key point lies in that at a sequence of degenerate points of the crossing parameter $\eta=\eta_m$, the off-diagonal Bethe ansatz equations (BAEs) can be reduced to the conventional ones. This allows one to extrapolate the formulae derived from the reduced BAEs to arbitrary $\eta$ case with $O(N^{-2})$ corrections in the thermodynamic limit $N\to\infty$. As an example, the surface energy of the $XXZ$ spin chain model with arbitrary boundary magnetic fields is derived exactly. This approach can be generalized to all the ODBA solvable models.
    01/2014;
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    ABSTRACT: In two previous papers [26] and [27], the exact solutions of the spin-12 chains with arbitrary boundary fields were constructed via the off-diagonal Bethe ansatz (ODBA). Here we introduce a method to approach the thermodynamic limit of those models. The key point is that at a sequence of degenerate points of the crossing parameter η=ηmη=ηm, the off-diagonal Bethe ansatz equations (BAEs) can be reduced to the conventional ones. This allows us to extrapolate the formulae derived from the reduced BAEs to arbitrary η case with O(N−2)O(N−2) corrections in the thermodynamic limit N→∞N→∞. As an example, the surface energy of the XXZ spin chain model with arbitrary boundary magnetic fields is derived exactly. This approach can be generalized to all the ODBA solvable models.
    Nuclear Physics B. 01/2014;
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    ABSTRACT: The nested off-diagonal Bethe ansatz method is proposed to diagonalize multi-component integrable models with generic integrable boundaries. As an example, the exact solutions of the su(n)-invariant spin chain model with both periodic and non-diagonal boundaries are derived by constructing the nested T-Q relations based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices.
    Journal of High Energy Physics 12/2013; 2014(4). · 5.62 Impact Factor
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    ABSTRACT: The exact solution of the one-dimensional super-symmetric t-J model under generic integrable boundary conditions is obtained via the Bethe ansatz methods. With the coordinate Bethe ansatz, the corresponding R-matrix and K-matrices are derived for the second eigenvalue problem associated with spin degrees of freedom. It is found that the second eigenvalue problem can be transformed to that of the transfer matrix of the inhomogeneous XXX spin chain, which allows us to obtain the spectrum of the Hamiltonian and the associated Bethe ansatz equations by the off-diagonal Bethe ansatz method.
    Journal of Statistical Mechanics Theory and Experiment 12/2013; 2014(4). · 1.87 Impact Factor
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    ABSTRACT: The one-dimensional Hubbard model with arbitrary boundary magnetic fields is solved exactly via the Bethe ansatz methods. With the coordinate Bethe ansatz in the charge sector, the second eigenvalue problem associated with the spin sector is constructed. It is shown that the second eigenvalue problem can be transformed into that of the inhomogeneous XXX spin chain with arbitrary boundary fields which can be solved via the off-diagonal Bethe ansatz method.
    Nuclear Physics B 11/2013; 879. · 4.33 Impact Factor
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    ABSTRACT: A general method is proposed for constructing the Bethe ansatz equations of integrable models without U(1) symmetry. As an example, the exact spectrum of the XXZ spin ring with a Möbius-like topological boundary condition is derived by constructing a modified T-Q relation based on the functional connection between the eigenvalues of the transfer matrix and the quantum determinant of the monodromy matrix. With the exact solution, the elementary excitations of the topological XX spin ring are discussed in detail. It is found that the excitation spectrum indeed shows a nontrivial topological nature.
    Physical Review Letters 09/2013; 111(13):137201. · 7.73 Impact Factor
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    ABSTRACT: Recently, the XXX spin chain with arbitrary boundary fields was successfully solved [1] via the off-diagonal Bethe ansatz method [2]. The correctness and the completeness of this solution were numerically verified by Nepomechie for one choice of the parameterizations [3]. In this paper, we discuss further the completeness of another parameterization of the Bethe ansatz equations and its reduction to the parallel boundary field case. The numerical results show that when the relative angle between the boundary fields turns to zero, both the T-Q relations and the Bethe ansatz equations are reduced to the ones obtained by the conventional Bethe ansatz methods. This allows us to establish a one-to-one correspondence between the Bethe roots of the unparallel boundary field case and those of the parallel boundary field case. In the thermodynamic limit, those two sets of Bethe roots tend to the same and the contribution of the relative angle to the energy is in the order of 1/N.
    09/2013;
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    ABSTRACT: We provide a family of general monogamy inequalities for global quantum discord (GQD), which can be seen as an extension of the usual monogamy inequality. It can be shown that they are satisfied under the similar condition for the holding of usual monogamy relation. We find there is an intrinsic connection between them. Furthermore, we define another type of monogamy inequality and prove it holds under the condition that the bipartite GQDs do not increase under discard of subsystems. Finally, we investigate the residual GQD in accordance with the second monogamy inequality.
    Annals of Physics. 07/2013;

Publication Stats

531 Citations
205.04 Total Impact Points

Institutions

  • 1997–2014
    • Northwest University
      Northwest Harborcreek, Pennsylvania, United States
  • 2013
    • Northeast Institute of Geography and Agroecology
      • Institute of Physics
      Peping, Beijing, China
  • 1993–2013
    • Northwest University
      • Department of Physics
      Donghong, Guangdong, China
  • 2011
    • Capital Normal University
      • School of Mathematical Sciences
      Beijing, Beijing Shi, China
  • 1999–2011
    • University of Queensland 
      • School of Mathematics and Physics
      Brisbane, Queensland, Australia
  • 2002–2008
    • University of Bonn
      • Physics Institute
      Bonn, North Rhine-Westphalia, Germany
  • 2005
    • Beijing Institute Of Technology
      • School of Physics
      Peping, Beijing, China
  • 2003
    • Kyoto University
      • Yukawa Institute for Theoretical Physics
      Kioto, Kyōto, Japan