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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…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rodolfo A. Jalabert , Horacio M. Pastawski

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…

Quantum Physics · Physics 2015-04-16 Pablo R. Zangara , Denise Bendersky , Horacio M. Pastawski

Out-of-Time-Order Correlators (OTOCs) serve as a proxy for quantum information scrambling, which refers to the process where information stored locally disperses across the many-body degrees of freedom in a quantum system, rendering it…

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…

Quantum Physics · Physics 2013-05-29 Natalia Ares , Diego A. Wisniacki

Interacting many-body quantum systems show a rich array of physical phenomena and dynamical properties, but are notoriously difficult to study: they are challenging analytically and exponentially difficult to simulate on classical…

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…

Statistical Mechanics · Physics 2012-07-31 Victor Mukherjee , Shraddha Sharma , Amit Dutta

We address the time decay of the Loschmidt echo, measuring sensitivity of quantum dynamics to small Hamiltonian perturbations, in one-dimensional integrable systems. Using semiclassical analysis, we show that the Loschmidt echo may exhibit…

Exactly Solvable and Integrable Systems · Physics 2014-02-19 Remy Dubertrand , Arseni Goussev

Quantum simulation elucidates properties of quantum many-body systems by mapping its Hamiltonian to a better-controlled system. Being less stringent than a universal quantum computer, noisy small- and intermediate-scale quantum simulators…

A controlled quantum system can alter its environment by feedback, leading to reduced-entropy states of the environment and to improved system coherence. Here, using a quantum dot electron spin as control and probe, we prepare the quantum…

Quantum Physics · Physics 2017-10-04 G. Éthier-Majcher , D. Gangloff , R. Stockill , E. Clarke , M. Hugues , C. Le Gall , M. Atatüre

Recent theoretical and experimental studies have shown significance of quantum information scrambling (i.e. a spread of quantum information over a system degrees of freedom) for problems encountered in high-energy physics, quantum…

Quantum Physics · Physics 2019-12-11 Jan Tuziemski

The breakdown of Lieb-Robinson bounds in local, non-Hermitian quantum systems opens up the possibility for a rich landscape of quantum many-body phenomenology. We elucidate this by studying information scrambling and quantum chaos in…

Quantum Physics · Physics 2023-10-18 Brian Barch , Namit Anand , Jeffrey Marshall , Eleanor Rieffel , Paolo Zanardi

We investigate the quantum dynamics of the electron spin resonance of topological defects (edge state) in dimerized chains. These objects are discontinuities of the spin chain protected by the properties of the global system leading to a…

Strongly Correlated Electrons · Physics 2025-12-09 L. Soriano , A. Manoj-Kumar , G. Gerbaud , A. Savoyant , R. Dassonneville , H. Vezin , O. Jeannin , M. Orio , M. Fourmigué , S. Bertaina

This tutorial article introduces the physics of quantum information scrambling in quantum many-body systems. The goals are to understand how to precisely quantify the spreading of quantum information and how causality emerges in complex…

Quantum Physics · Physics 2024-01-25 Shenglong Xu , Brian Swingle

We experimentally and theoretically investigate the non-equilibrium phase structure of a well-controlled driven-disspative quantum spin system governed by the interplay of coherent driving, spontaneous decay and long-range spin-spin…

Atomic Physics · Physics 2018-08-15 S. Helmrich , A. Arias , S. Whitlock

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…

Quantum Physics · Physics 2015-11-11 A. K. Khitrin

Reliable processing of quantum information for developing quantum technologies requires precise control of out-of-equilibrium many-bodysystems. This is a highly challenging task as the fragility of quantum states to external perturbations…

Scrambling of quantum information can be conveniently quantified by so called out-of-time-order-correlators (OTOCs), whose measurements presents a formidable experimental challenge. Here we report on a method for the measurement of OTOCs…

Quantum Physics · Physics 2017-06-28 Michele Campisi , John Goold

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

The idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of both condensed matter systems and gravitational systems. It not only plays a key role in investigating the holographic duality between a strongly…

Strongly Correlated Electrons · Physics 2017-07-26 Jun Li , Ruihua Fan , Hengyan Wang , Bingtian Ye , Bei Zeng , Hui Zhai , Xinhua Peng , Jiangfeng Du

We show that non-Hermitian biorthogonal many-body phase transitions can be characterized by the enhanced decay of Loschmidt echo. The quantum criticality is numerically investigated in a non-Hermitian transverse field Ising model by…

Strongly Correlated Electrons · Physics 2023-01-13 Jia-Chen Tang , Su-Peng Kou , Gaoyong Sun