Information scrambling in chaotic systems with dissipation

Zhang, Yongliang; Huang, Yichen; Xie, Changsheng

doi:10.1103/physrevb.99.014303

Cited by 55 publications

(32 citation statements)

References 81 publications

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“…We diagnose information spreading by examining the OTOC, a quantity that has received a great deal of recent interest in studies of quantum scrambling [69][70][71][72][73][74][75][76][77][78][79][80][81]. We define the anyonic OTOC as…”

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confidence: 99%

Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics

et al. 2018

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We study the non-equilibrium dynamics of Abelian anyons in a one-dimensional system. We find that the interplay of anyonic statistics and interactions gives rise to spatially asymmetric particle transport together with a novel dynamical symmetry that depends on the anyonic statistical angle and the sign of interactions. Moreover, we show that anyonic statistics induces asymmetric spreading of quantum information, characterized by asymmetric light cones of out-of-time-ordered correlators. Such asymmetric dynamics is in sharp contrast with the dynamics of conventional fermions or bosons, where both the transport and information dynamics are spatially symmetric. We further discuss experiments with cold atoms where the predicted phenomena can be observed using state-of-the-art technologies. Our results pave the way toward experimentally probing anyonic statistics through non-equilibrium dynamics.

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confidence: 99%

Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics

et al. 2018

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“…Only few works address scrambling in open quantum systems: a master equation was derived [26], a measurement protocol was proposed [27] as well as numerical studies were performed [28,29]. Thus the aim of this work is to advance understanding of open system OTOCs.…”

Section: Introductionmentioning

confidence: 99%

Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach

Tuziemski

2019

Phys. Rev. A

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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 information, and condensed matter. Due to complexity of quantum many-body systems it is plausible that new developments in this field will be achieved by experimental explorations. Since noise effects are inevitably present in experimental implementations, a better theoretical understanding of quantum information scrambling in systems affected by noise is needed. To address this problem we study indicators of quantum scramblingout-of-time-ordered correlation functions (OTOCs) in open quantum systems. As most experimental protocols for measuring OTOCs are based on backward time evolution we consider two possible scenarios of joint system-environment dynamics reversal: In the first one the evolution of the environment is reversed, whereas in the second it is not. We derive general formulas for OTOCs in those cases as well as study in detail the model of a spin chain coupled to the environment of harmonic oscillators. In the latter case we derive expressions for open systems OTOCs in terms of Feynman-Vernon influence functional. Subsequently, assuming that dephasing dominates over dissipation, we provide bounds on open system OTOCs and illustrate them for a spectral density known from the spin-boson problem. In addition to being significant for quantum information scrambling, our results also advance understating of decoherence in processes involving backward time evolution.

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“…Scrambling causes the OTOC to decay over a short time interval, then remain small. Information leakage can reproduce this behavior [38], since a decohered system entangles with the environment. Quantum information spreads across many degrees of freedom, but most are outside the system.…”

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confidence: 97%

“…Different OTOC-measurement protocols have been proposed [29][30][31][32], and some experimental success has been reported [33][34][35][36]. Yet the protocols' robustness in realistic, decoherent experimental settings has just started to be explored and is emerging as an active area of research [36][37][38][39][40][41].…”

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confidence: 99%

Out-of-Time-Ordered-Correlator Quasiprobabilities Robustly Witness Scrambling

2019

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Out-of-time-ordered correlators (OTOCs) have received considerable recent attention as qualitative witnesses of information scrambling in many-body quantum systems. Theoretical discussions of OTOCs typically focus on closed systems, raising the question of their suitability as scrambling witnesses in realistic open systems. We demonstrate empirically that the nonclassical negativity of the quasiprobability distribution (QPD) behind the OTOC is a more sensitive witness for scrambling than the OTOC itself. Nonclassical features of the QPD evolve with time scales that are robust with respect to decoherence and are immune to false positives caused by decoherence. To reach this conclusion, we numerically simulate spin-chain dynamics and three measurement protocols (the interferometric, quantum-clock, and weak-measurement schemes) for measuring OTOCs. We target experiments based on quantum-computing hardware such as superconducting qubits and trapped ions.

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Information scrambling in chaotic systems with dissipation

Cited by 55 publications

References 81 publications

Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics

Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics

Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach

Out-of-Time-Ordered-Correlator Quasiprobabilities Robustly Witness Scrambling

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