Quantum Information Scrambling in Non-Markovian Open Quantum System

Han, Liping; Zou, Jian; Li, Hai; Shao, Bin

doi:10.3390/e24111532

Cited by 6 publications

(4 citation statements)

References 99 publications

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“…Exploring quantum chaos and OTOC in OQSs is an ongoing area of research. Several techniques have been developed to address this issue [109][110][111][112][113][114]. To this end, we use the adjoint form of the GKSL master equation [89,90] to study the operator evolution in time, which is then used to calculate the OTOC.…”

Section: Introductionmentioning

confidence: 99%

Quantum chaos in the Dicke model and its variants

Tiwari,

Banerjee

2023

Proc. R. Soc. A.

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Recently, the out-of-time-ordered correlator (OTOC) has gained much attention as an indicator of quantum chaos. In the semi-classical limit, its exponential growth rate resembles the classical Lyapunov exponent. The quantum–classical correspondence has been supported for the one-body chaotic systems as well as realistic systems with interactions, as in the Dicke model, a model of multi-two-level atoms and cavity field interactions. To this end, we calculate the OTOC for different variations of the Dicke model in an open quantum system setting. The connection between the superradiant phase transition of the Dicke model and the OTOC is studied. Further, we establish a relation between the OTOC and the second-order coherence function. This becomes important for the experimental studies of the OTOC and quantum chaos in the models of quantum optics.

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Section: Introductionmentioning

confidence: 99%

Quantum chaos in the Dicke model and its variants

Tiwari,

Banerjee

2023

Proc. R. Soc. A.

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“…Despite the significant attention that scrambling dynamics has received in the literature [16][17][18][19][20][21][22][23], curiously, little is known about the quantum-to-classical transition in the context of scrambling. Only recently have several studies begun to unravel the interplay between decoherence and scrambling [23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Pointer States and Quantum Darwinism with Two-Body Interactions

Duruisseau,

Touil,

Deffner

2023

Entropy

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Quantum Darwinism explains the emergence of classical objectivity within a quantum universe. However, to date, most research on quantum Darwinism has focused on specific models and their stationary properties. To further our understanding of the quantum-to-classical transition, it appears desirable to identify the general criteria a Hamiltonian has to fulfill to support classical reality. To this end, we categorize all N-qubit models with two-body interactions, and show that only those with separable interaction of the system and environment can support a pointer basis. We further demonstrate that “perfect” quantum Darwinism can only emerge if there are no intra-environmental interactions. Our analysis is complemented by solving the ensuing dynamics. We find that in systems exhibiting information scrambling, the dynamical emergence of classical objectivity directly competes with the non-local spread of quantum correlations. Our rigorous findings are illustrated through the numerical analysis of four representative models.

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“…This interaction often leads to decoherence, which can either facilitate or hinder the scrambling process. A number of studies tackled this question [47,[74][75][76][77][78][79][80][81] from various perspectives.…”

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confidence: 99%

Information scrambling —A quantum thermodynamic perspective

Touil,

Deffner

2024

EPL

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Recent advances in quantum information science have shed light on the intricate dynamics of quantum many-body systems, for which quantum information scrambling is a perfect example. Motivated by considerations of the thermodynamics of quantum information, this perspective aims at synthesizing key findings from several pivotal studies, exploring various aspects of quantum scrambling. We consider quantifiers such as the Out-of-Time-Ordered Correlator (OTOC), the quantum Mutual Information, and the Tripartite Mutual Information (TMI), their connections to thermodynamics, and their role in understanding chaotic versus integrable quantum systems. Focusing on representative examples, we cover a range of topics, including the thermodynamics of quantum information scrambling, and the scrambling dynamics in quantum gravity models such as the Sachdev-Ye-Kitaev (SYK) model. By examining these diverse approaches, we highlight the multifaceted nature of quantum information scrambling and its significance in understanding the fundamental aspects of quantum many-body dynamics at the intersection of quantum mechanics and thermodynamics.

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Quantum Information Scrambling in Non-Markovian Open Quantum System

Cited by 6 publications

References 99 publications

Quantum chaos in the Dicke model and its variants

Quantum chaos in the Dicke model and its variants

Pointer States and Quantum Darwinism with Two-Body Interactions

Information scrambling —A quantum thermodynamic perspective

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