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If a magnetic polarization excess is locally injected in a crystal of interacting spins, this "excitation" would spread as consequence of spin-spin interactions. Such an apparently irreversible process is known as spin diffusion and it can…

量子物理 · 物理学 2017-02-14 Pablo R. Zangara , Horacio M. Pastawski

Evaluating the role of perturbations versus the intrinsic coherent dynamics in driving to equilibrium is of fundamental interest to understand quantum many-body thermalization, in the quest to build ever complex quantum devices. Here we…

A local excitation in a quantum many-spin system evolves deterministically. A time-reversal procedure, involving the inversion of the signs of every energy and interaction, should produce the excitation revival. This idea, experimentally…

量子物理 · 物理学 2016-05-23 Pablo R. Zangara , Denise Bendersky , Patricia R. Levstein , Horacio M. Pastawski

The Loschmidt echo (LE) is a measure of the sensitivity of quantum mechanics to perturbations in the evolution operator. It is defined as the overlap of two wave functions evolved from the same initial state but with slightly different…

量子物理 · 物理学 2007-05-23 Fernando M. Cucchietti

We employ the Loschmidt Echo, i.e. the signal recovered after the reversal of an evolution, to identify and quantify the processes contributing to decoherence. This procedure, which has been extensively used in single particle physics, is…

量子物理 · 物理学 2012-07-25 Pablo R. Zangara , Axel D. Dente , Patricia R. Levstein , Horacio M. Pastawski

We study the Loschmidt echo (LE) in a central spin model in which a central spin is globally coupled to an environment (E) which is subjected to a small and sudden quench at $t=0$ so that its state at $t=0^+$, remains the same as the ground…

统计力学 · 物理学 2012-07-31 Victor Mukherjee , Shraddha Sharma , Amit Dutta

The interplay between interactions and disorder in closed quantum many-body systems is relevant for thermalization phenomenon. In this article, we address this competition in an infinite temperature spin system, by means of the Loschmidt…

We address the question on how weak perturbations, that are quite ineffective in small many-body systems, can lead to decoherence and hence to irreversibility when they proliferate as the system size increases. This question is at the heart…

量子物理 · 物理学 2015-04-16 Pablo R. Zangara , Denise Bendersky , Horacio M. Pastawski

A local excitation in a quantum many-particle system evolves deterministically. A time-reversal procedure, involving the invertion of the signs of every energy and interaction, should produce an excitation revival: the Loschmidt echo (LE).…

统计力学 · 物理学 2015-10-22 Pablo R. Zangara , Patricia R. Levstein , Horacio M. Pastawski

Entanglement between a quantum system and its environment leads to loss of coherence in the former. In general, the temporal fate of coherences is complicated. Here, we establish the connection between decoherence of a central system and…

量子物理 · 物理学 2013-05-29 T. Gorin , T. Prosen , T. H. Seligman , W. T. Strunz

We study the response to sudden local perturbations of highly excited Quantum Ising Spin Chains. The key quantity encoding this response is the overlap between time-dependent wave functions, which we write as a two-times Loschmidt echo. Its…

统计力学 · 物理学 2016-11-29 Carla Lupo , Marco Schiró

The Loschmidt echo, defined as the overlap between quantum wave function evolved with different Hamiltonians, quantifies the sensitivity of quantum dynamics to perturbations and is often used as a probe of quantum chaos. In this work we…

无序系统与神经网络 · 物理学 2017-07-14 Maksym Serbyn , Dmitry A. Abanin

In spin systems, the decay of the Loschmidt echo in the time-reversal experiment (evolution, perturbation, time-reversed evolution) is linked to the generation of multiple-quantum coherences. The approach is extended to other systems, and…

量子物理 · 物理学 2015-11-11 A. K. Khitrin

We study the decoherence of a one-particle system, whose classical correpondent is chaotic, when it evolves coupled to a weak quenched environment. This is done by analytical evaluation of the Loschmidt Echo, (i.e. the revival of a…

无序系统与神经网络 · 物理学 2009-10-31 Rodolfo A. Jalabert , Horacio M. Pastawski

We investigate decoherence in quantum systems coupled via dephasing-type interactions to an arbitrary environment with chaotic underlying classical dynamics. The coherences of the reduced state of the central system written in the…

量子物理 · 物理学 2011-08-22 Gabriela Barreto Lemos , Fabricio Toscano

We study the non-equilibrium evolution of concurrence of a Bell pair constituted of two qubits, through the measurement of Loschmidt echo (LE) under the scope of generalized central spin model. Having detected the Griffiths phase via…

介观与纳米尺度物理 · 物理学 2019-05-07 Sudip Mukherjee , Tanay Nag

The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant across various scientific fields…

Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong…

量子物理 · 物理学 2013-05-29 Natalia Ares , Diego A. Wisniacki

Environment--induced decoherence causes entropy increase. It can be quantified using, e.g., the purity $\varsigma={\rm Tr}\rho^2$. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured…

量子物理 · 物理学 2009-11-10 F. M. Cucchietti , D. A. R. Dalvit , J. P. Paz , W. H. Zurek

The Loschmidt echo is a measure of the stability and reversibility of quantum evolution under perturbations of the Hamiltonian. One of the expected and most relevant characteristics of this quantity for chaotic systems is an exponential…

混沌动力学 · 物理学 2011-07-07 Ignacio Garcia-Mata , Diego A. Wisniacki
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