Form factor expansion for thermal correlators

Pozsgay, Balázs; Takács, Gábor

doi:10.1088/1742-5468/2010/11/p11012

Cited by 71 publications

(180 citation statements)

References 58 publications

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“…The work aimed at resolving this issue is in progress, and the developments in this paper are also useful in preparing a testing ground for future theoretical conjectures. Once this final piece is in place, it will be possible to use the systematic formalism developed in [35] for the form factor expansion of finite temperature correlators to evaluate correlators in field theories with non-diagonal scattering, such as sine-Gordon theory or the O(3) nonlinear σ-model.…”

Section: Discussionmentioning

confidence: 99%

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Sine-Gordon multisoliton form factors in finite volume

2012

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Section: Discussionmentioning

confidence: 99%

“…[33]). The finite volume description of form factors can be used to develop a low-temperature and large-distance expansion for finite-temperature correlation functions [21,34,35], which could in turn be used to explain experimental data, e.g. from inelastic neutron scattering [36,34].…”

Section: Introductionmentioning

confidence: 99%

Sine-Gordon multisoliton form factors in finite volume

2012

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“…where O is any local operator. In our case ρ SS is a thermal density matrix (as we have broken integrability though the V -term) and in the large-∆ regime we have (in a large, finite volume) [43][44][45][46][47][48][49][50][51] ρ SS = 1 Z n e −β eff En |n n| =…”

Section: Combined Linked-cluster and 1/∆ Expansionsmentioning

confidence: 99%

How order melts after quantum quenches

Collura

Eßler

2020

Phys. Rev. B

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Injecting a sufficiently large energy density into an isolated many-particle system prepared in a state with long-range order will lead to the melting of the order over time. Detailed information about this process can be derived from the quantum mechanical probability distribution of the order parameter. We study this process for the paradigmatic case of the spin-1/2 Heisenberg XXZ chain. We determine the full quantum mechanical distribution function of the staggered subsystem magnetization as a function of time after a quantum quench from the classical Néel state. This provides a detailed picture of how the Néel order melts and reveals the existence of an interesting regime at intermediate times that is characterized by a very broad probability distribution.Introduction. -A fundamental objective of quantum theory is to determine probability distribution functions of observables in given quantum states. In fewparticle systems the time evolution of such probability distributions provides a lot of useful information beyond what is contained in the corresponding expectation values. Recent advances in cold-atom experiments have made possible not only the study of non-equilibrium time evolution of (almost) isolated many-particle systems [1][2][3][4][5][6][7][8][9][10][11][12][13], but given access to the full quantum mechanical probability distributions of certain observables [14][15][16][17][18]. This provides an opportunity to gain new insights about the coherent dynamics of many-particle quantum systems. One intriguing question one may ask is how order melts, or forms, when an isolated many-particle system is driven across a phase transition. Related questions have been studied in solids, but there one essentially deals with open quantum systems and has access to very different observables, see e.g. [19,20]. The basic setup we have in mind is as follows. Let us consider a system of quantum spins with Hamiltonian H that is initially prepared in a state with density matrix ρ(0). In this state there is long-range order characterized by a local order parameter O =

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“…Following the method introduced by Pozsgay and Takacs in [50], we rewrite each term in (121) as an integral on an appropriate multi-contour C in C N by means of the multidimensional residue calculus…”

Section: Contributions From States With M = Nmentioning

confidence: 99%

Quantum quench in the sine-Gordon model

2014

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We consider the time evolution in the repulsive sine-Gordon quantum field theory after the system is prepared in a particular class of initial states. We focus on the time dependence of the onepoint function of the semi-local operator exp iβΦ(x)/2 . By using two different methods based on form-factor expansions, we show that this expectation value decays to zero exponentially, and we determine the decay rate by analytical means. Our methods generalize to other correlation functions and integrable models.

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Form factor expansion for thermal correlators

Cited by 71 publications

References 58 publications

Sine-Gordon multisoliton form factors in finite volume

Sine-Gordon multisoliton form factors in finite volume

How order melts after quantum quenches

Quantum quench in the sine-Gordon model

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