Correlations after Quantum Quenches in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>X</mml:mi><mml:mi>Z</mml:mi></mml:mrow></mml:math>Spin Chain: Failure of the Generalized Gibbs Ensemble

Pozsgay, Balázs; Mestyán, Márton; Werner, Miklós Antal; Kormos, Márton; Zaránd, Gergely; Takács, Gábor

doi:10.1103/physrevlett.113.117203

Cited by 285 publications

(459 citation statements)

References 68 publications

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“…The difference is more pronounced for the quench starting from the dimer state, although it remains relatively small. However, in this case it is possible to observe the difference between the two predictions [67], and the numerical simulation confirm indeed that the GGE built is Ref. [55] yields wrong prediction, while the representative state approach correctly reproduce the numerical results.…”

Section: -P4mentioning

confidence: 58%

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Non-equilibrium dynamics of isolated quantum systems

Calabrese

2015

EPJ Web of Conferences

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Abstract. The non-equilibrium dynamics of isolated quantum systems represent a theoretical and experimental challenge raising many fundamental questions with applications to different fields of modern physics. In these proceedings, we briefly review some of the recent findings on the subject, with particular emphasis to the existence of stationary expectation values of local observables and to their statistical mechanics description. It turns out that the appropriate statistical ensemble describing these asymptotic values depends on whether the Hamiltonian governing the time evolution is integrable or not.

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Section: -P4mentioning

confidence: 58%

“…From these overlaps, the infinite time limit of the evolution has been explicitly calculated for the Neel state in Ref. [65,66] and for the dimer state in [67], again exploiting the representative state approach of Ref. [52].…”

Section: -P4mentioning

confidence: 99%

Non-equilibrium dynamics of isolated quantum systems

Calabrese

2015

EPJ Web of Conferences

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“…The predictions based on GGE resisted all tests in many models both having a free-particle representation [10,11,[14][15][16][17][18][19][20][21][22][23][24] and being genuinely interacting [25][26][27][28][29], until very recently when it has been found that for the XXZ spin chain, after a quench from the (symmetrized) Néel and dimer states, the obtained stationary values [30][31][32] disagree with the predictions of the GGE built with all the known local charges [33,34] (see also Refs. [35][36][37]).…”

Section: Introductionmentioning

confidence: 99%

Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains

Piroli¹,

Calabrese²

2014

J. Phys. A: Math. Theor.

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We consider the problem of computing the overlaps between the Bethe states of the XXZ spin-1/2 chain and generic states. We derive recursive formulas for the overlaps between some simple product states and off-shell Bethe states within the framework of the Algebraic Bethe Ansatz. These recursive formulas can be used to prove in a simple and straightforward way the recently-obtained results for the overlaps of the Bethe states with the Néel state, the dimer state, and the q-deformed dimer state. However, these recursive formulas are derived for a broader class of states and represent a concrete starting point for the computation of rather general overlaps. Our approach can be easily extended to other one-dimensional Bethe Ansatz integrable models.

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“…For integrable systems this issue has long been in the focus of research with many interesting findings (cf., for instance, Refs. [20][21][22][23][24][25][26][27]). Generically, integrable systems with a large number of degrees of freedom turn chaotic for a weak perturbation.…”

Section: Introductionmentioning

confidence: 99%

Many-body localization phase in a spin-driven chiral multiferroic chain

et al. 2017

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Many-body localization (MBL) is an emergent phase in correlated quantum systems with promising applications, particularly in quantum information. Here, we unveil the existence and analyze this phase in a chiral multiferroic model system. Conventionally, MBL occurrence is traced via level statistics by implementing a standard finite-size scaling procedure. Here, we present an approach based on the full distribution of the ratio of adjacent energy spacings. We find a strong broadening of the histograms of counts of these level spacings directly at the transition point from MBL to the ergodic phase. The broadening signals reliably the transition point without relying on an averaging procedure. The fast convergence of the histograms even for relatively small systems allows monitoring the MBL dynamics with much less computational effort. Numerical results are presented for a chiral spin chain with a dynamical DzyaloshinskiiMoriya interaction, an established model to describe the spin excitations in a single-phase spin-driven multiferroic system. The multiferroic MBL phase is uncovered and it is shown how to steer it via electric fields.

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Correlations after Quantum Quenches in theXXZSpin Chain: Failure of the Generalized Gibbs Ensemble

Cited by 285 publications

References 68 publications

Non-equilibrium dynamics of isolated quantum systems

Non-equilibrium dynamics of isolated quantum systems

Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains

Many-body localization phase in a spin-driven chiral multiferroic chain

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