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Classical counterparts of a great variety of quantum systems, from atomic physics to quantum wells and quantum dots, to optical, microwave, and acoustic resonators exhibit partially chaotic dynamics. Since it is often impossible to measure…

Chaotic Dynamics · Physics 2007-05-23 Viktor A. Podolskiy , Evgenii E. Narimanov

Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate OTOC and analyze the quantum information scrambling in atom-field and…

Quantum Physics · Physics 2025-10-07 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee

We present a general theory of quantum information propagation in chaotic quantum many-body systems. The generic expectation in such systems is that quantum information does not propagate in localized form; instead, it tends to spread out…

Statistical Mechanics · Physics 2020-11-05 Josiah Couch , Stefan Eccles , Phuc Nguyen , Brian Swingle , Shenglong Xu

We study a dynamical system with time dependent Hamiltonian by numerical experiments so as to find a relation between thermodynamics and chaotic nature of the system. Excess information loss, defined newly based on Lyapunov analysis, is…

chao-dyn · Physics 2009-10-31 S. Sasa , T. S. Komatsu

The entanglement evolution after a quantum quench became one of the tools to distinguish integrable versus chaotic (non-integrable) quantum many-body dynamics. Following this line of thoughts, here we propose that the revivals in the…

Statistical Mechanics · Physics 2020-09-01 Ranjan Modak , Vincenzo Alba , Pasquale Calabrese

The spatiotemporal evolution of the out-of-time-order correlator (OTOC) measures the propagation and scrambling of local quantum information. For the transverse field Ising model with open boundaries, the local operator $\sigma^{x}$ shows…

Strongly Correlated Electrons · Physics 2024-07-12 Samudra Sur , Diptiman Sen

We investigate the relationship between information scrambling and work statistics after a quench for the paradigmatic example of short-range interacting particles in a one-dimensional harmonic trap, considering up to five particles…

Quantum Physics · Physics 2022-02-22 Mathias Mikkelsen , Thomás Fogarty , Thomas Busch

Observable scattering processes entail emission-absorption of soft photons. As these degrees of freedom go undetected, some information is lost. Whether some of this information can be recovered in the observation of the hard photons,…

High Energy Physics - Theory · Physics 2023-05-04 Xuan-Lin Su , Alioscia Hamma , Antonino Marciano

We study the interplay of symmetries and Gaussianity in bosonic systems, under closed and open dynamics, and develop a resource theory of Gaussian asymmetry. Specifically, we focus on Gaussian symmetry-respecting (covariant) operations,…

Quantum Physics · Physics 2025-10-30 Nikolaos Koukoulekidis , Iman Marvian

Out-of-time-order correlators (OTOCs) can be used to probe how quickly a quantum system scrambles information when the initial conditions of the dynamics are changed. In sufficiently large quantum systems, one can extract from the OTOC the…

Chemical Physics · Physics 2022-03-31 Chenghao Zhang , Peter G. Wolynes , Martin Gruebele

A hallmark of chaotic dynamics is the loss of information with time. Although information loss is often expressed through a connection to Lyapunov exponents -- valid in the limit of high information about the system state -- this picture…

Machine Learning · Computer Science 2022-10-26 Kieran A. Murphy , Dani S. Bassett

Decoherence in Markovian systems can result indirectly from the action of a system Hamiltonian which is usually fixed and unavoidable. Here, we show that in general in Markovian systems, because of the system Hamiltonian, quantum…

Quantum Physics · Physics 2008-08-13 Manas K. Patra , Peter G. Brooke

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

Manifestation of dynamical instability and Hamiltonian chaos in the fundamental near-resonant matter-radiation interaction has been found analitically and in a Monte Carlo simulation in the behavior of atoms moving in a rigid optical…

Quantum Physics · Physics 2008-05-13 V. Yu. Argonov , S. V. Prants

Recent work has studied the growth of commutators as a probe of chaos and information scrambling in quantum many-body systems. In this work we study the effect of static disorder on the growth of commutators in a variety of contexts. We…

Strongly Correlated Electrons · Physics 2017-03-01 Brian Swingle , Debanjan Chowdhury

We study the Bohmian dynamics of a large class of bipartite systems of non-ideal qubit systems, by modifying the basic physical parameters of an ideal two-qubit system, made of coherent states of the quantum harmonic oscillator. First we…

Quantum Physics · Physics 2022-03-07 Athanasios C. Tzemos , George Contopoulos

The emergence of quantum technologies has brought much attention to the characterization of quantum resources as well as the classical simulatability of quantum processes. Quantum resources, as quantified by non-stabilizerness, have in one…

Quantum Physics · Physics 2024-08-13 Arash Ahmadi , Jonas Helsen , Cagan Karaca , Eliska Greplova

In quantum many-body dynamics, locally encoded information typically scrambles across the entire system, becoming inaccessible to local probes. The upper bound of accessible information of local probes can be characterized by the Holevo…

Quantum Physics · Physics 2026-05-18 Yan-Ming Chen , Dan-Bo Zhang

Discrete and continuous variables oftentimes require different treatments in many learning tasks. Identifying the Hamiltonian governing the evolution of a quantum system is a fundamental task in quantum learning theory. While previous works…

Quantum Physics · Physics 2025-06-03 Tim Möbus , Andreas Bluhm , Tuvia Gefen , Yu Tong , Albert H. Werner , Cambyse Rouzé

We discuss various numerical approaches for studying the chaotic dynamics of multidimensional Hamiltonian systems, focusing our analysis on the chaotic evolution of initially localized energy excitations in the disordered Klein-Gordon…

Chaotic Dynamics · Physics 2023-11-09 Charalampos Skokos