Quantum work statistics, Loschmidt echo and information scrambling

Chenu, Aurélia; Egusquiza, I. L.; Molina-Vilaplana, Javier; Campo, Adolfo del

doi:10.1038/s41598-018-30982-w

Cited by 62 publications

(46 citation statements)

References 45 publications

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“…This transition was already been observed in different spin-1/2 chain models [50]. Also we remark that RMT have brought new insights to quantum thermodynamics [52][53][54], with special attention devoted to the work distribution function [52,53,55,56] and information scrambling [56,57].…”

Section: Introductionsupporting

confidence: 66%

Work statistics for sudden quenches in interacting quantum many-body systems

et al. 2019

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Work in isolated systems, defined by the two projective energy measurement scheme, is a random variable whose the distribution function obeys the celebrated fluctuation theorems of Crooks and Jarzynski. In this study, we provide a simple way to calculate the work distribution associated to sudden quench processes in a given class of quantum many-body systems. Due to the large Hilbert space dimension of these systems, we show that there is an energy coarse-grained description of the exact work distribution that can be constructed from two elements: the level density of the initial Hamiltonian, and the strength function, which provides information about the influence of the perturbation over the eigenvectors in the quench process. We also show how random Hamiltonian models can be helpful to find the energy coarse-grained work probability distribution and apply this approach to different spin-1/2 chain models. Our finding provides an accurate description of the work distribution of such systems in the cases of intermediate and high temperatures in both chaotic and integrable regimes.arXiv:1907.06285v1 [quant-ph]

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Section: Introductionsupporting

confidence: 66%

Work statistics for sudden quenches in interacting quantum many-body systems

et al. 2019

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“…In particular, in spite of the absence of the tell-tale exponential sensitivity to initial conditions in unitary quantum evolution, one can use as a quantum diagnostic of chaos sensitivity of the evolution to small perturbations of the Hamiltonian [3] or its entropy production in presence of the coupling to the environment [4,5]. These and related manifestations of quantum chaos have been by now intensively studied [6][7][8][9][10][11][12][13], using phenomena such as Loschmidt echo (LE) [14,15],…”

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confidence: 99%

Information Scrambling and Loschmidt Echo

2020

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We establish a direct link between the out-of-time order correlator, a recently suggested measure for probing information scrambling in quantum chaotic systems, and the Loschmidt echo, a wellappreciated diagnostic that captures the dynamical aspect of quantum chaos in the time domain. Two models has been studied to reveal the connection between these two quantities for both early growth (scrambling) regime and the intermediate decay regime. Implications to the Maldacena bound on the decay rate is also briefly discussed.

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“…The problem is not a failure of some approximation, the very definition of such methods cannot guarantee positivity. We believe that a first-principles construction of decay probabilities is essential for describing decays in novel regimes, for example, in entangled systems [20][21][22], attosecond tunneling ionization [23] or decay oscillations in nuclear physics [24].…”

Section: This Papermentioning

confidence: 99%

Decays of Unstable Quantum Systems

Anastopoulos

2018

Int J Theor Phys

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This paper is a pedagogical yet critical introduction to the quantum description of unstable systems, mostly at the level of a graduate quantum mechanics course. Quantum decays appear in many different fields of physics, and their description beyond the exponential approximation is the source of technical and conceptual challenges. In this article, we present both general methods that can be adapted to a large class of problems, and specific elementary models to describe phenomena like photo-emission, beta emission and tunneling-induced decays. We pay particular attention to the emergence of exponential decay; we analyze the approximations that justify it, and we present criteria for its breakdown. We also present a detailed model for non-exponential decays due to resonance, and an elementary model describing decays in terms of particle-detection probabilities. We argue that the traditional methods for treating decays face significant problems outside the regime of exponential decay, and that the exploration of novel regimes of current interest requires new tools. * anastop@physics.upatras.gr arXiv:1808.03798v2 [quant-ph] 8 Dec 2018Probability currents. An alternative elementary description of decays is available, whenever we can associate a probability-current operatorĴ J J(x x x, t) to one of the decay products. For example, for non-relativistic particles of mass m satisfying Schrödinger's equation with HamiltonianĤ, the current operator iŝ J J J(x x x, t) = 1 2m e

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Quantum work statistics, Loschmidt echo and information scrambling

Cited by 62 publications

References 45 publications

Work statistics for sudden quenches in interacting quantum many-body systems

Work statistics for sudden quenches in interacting quantum many-body systems

Information Scrambling and Loschmidt Echo

Decays of Unstable Quantum Systems

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