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We replace a Hamiltonian with a modular Hamiltonian in the spectral form factor and the level spacing distribution function. This study establishes a connection between quantities within Quantum Entanglement and Quantum Chaos. To have a…

High Energy Physics - Theory · Physics 2022-11-15 Chen-Te Ma , Chih-Hung Wu

We study the properties of chaos in the motions of a spinning test particle in Schwarzschild spacetime. We characterize the chaos using the power spectrum of the time series of $z$ components of the particle's position. It is found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroko Koyama , Kenta Kiuchi , Tetsuro Konishi

We report experimental evidence of the route to spatiotemporal chaos in a large 1D-array of hotspots in a thermoconvective system. Increasing the driving force, a stationary cellular pattern becomes unstable towards a mixed pattern of…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

Dynamic structure factor (DSF) is important for understanding excitations in many-body physics; it reveals information about the spectral and spatial correlations of fluctuations in quantum systems. Collective phenomena like quantum phase…

Quantum Gases · Physics 2025-06-12 Subhanka Mal , Anushree Dey , Kingshuk Adikary , Bimalendu Deb

We propose a measure of quantum state complexity defined by minimizing the spread of the wave-function over all choices of basis. Our measure is controlled by the "survival amplitude" for a state to remain unchanged, and can be efficiently…

High Energy Physics - Theory · Physics 2022-09-14 Vijay Balasubramanian , Pawel Caputa , Javier Magan , Qingyue Wu

From the events generated from the MC code of a multi-phase transport (AMPT) model with string melting, the properties of multiplicity fluctuations of charged particles in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=\rm{~2.76 \,TeV}$ are…

High Energy Physics - Phenomenology · Physics 2018-10-31 Rohni Sharma , Ramni Gupta

The growth of commutators of initially commuting local operators diagnoses the onset of chaos in quantum many-body systems. We compute such commutators of local field operators with $N$ components in the $(2+1)$-dimensional $O(N)$ nonlinear…

Strongly Correlated Electrons · Physics 2017-09-13 Debanjan Chowdhury , Brian Swingle

Accessing the connection between classical chaos and quantum many-body systems has been a long-standing experimental challenge. Here, we investigate the onset of chaos in periodically driven two-component Bose-Einstein condensates, whose…

Quantum Physics · Physics 2015-09-08 J. Tomkovič , W. Muessel , H. Strobel , S. Löck , P. Schlagheck , R. Ketzmerick , M. K. Oberthaler

Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

Statistical Mechanics · Physics 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

We study signatures of quantum chaos in (1+1)D Quantum Field Theory (QFT) models. Our analysis is based on the method of Hamiltonian truncation, a numerical approach for the construction of low-energy spectra and eigenstates of QFTs that…

Statistical Mechanics · Physics 2021-04-02 Miha Srdinsek , Tomaz Prosen , Spyros Sotiriadis

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

Statistical Mechanics · Physics 2024-12-23 Zhaoyu Fei

The relation between the onset of chaos and critical phenomena, like Quantum Phase Transitions (QPT) and Excited-State Quantum Phase transitions (ESQPT), is analyzed for atom-field systems. While it has been speculated that the onset of…

Chaotic Dynamics · Physics 2016-08-12 J. Chávez-Carlos , M. A. Bastarrachea-Magnani , S. Lerma-Hernández , J. G. Hirsch

Nonequilibrium dynamics of quantum many-body systems is challenging for classical computing, providing opportunities for demonstrating practical quantum computational advantage with analogue quantum simulators. Owing to the intimate…

One of the central problems in many-body physics, both classical and quantum, is the relations between different notions of chaos. Ergodicity, mixing, operator growth, the eigenstate thermalization hypothesis, and spectral chaos are defined…

Statistical Mechanics · Physics 2024-07-11 Michael Winer

The chaotic phase of the tilted Bose-Hubbard model is identified as a function of energy, tilt strength and particle interaction, from the eigenstate structure and the statistical features of the energy spectrum. Our analysis reveals that…

Quantum Physics · Physics 2026-05-08 Pilar Martín Clavero , Alberto Rodríguez

As part of the quest to uncover universal features of quantum dynamics, we study catastrophes that form in simple many-body wave functions after a quench, focusing on two-mode systems that include the two-site Bose Hubbard model, and under…

Quantum Gases · Physics 2017-02-07 J Mumford , W Kirkby , D H J O'Dell

Quantum chaos is central to understanding quantum dynamics and is crucial for generating random quantum states, a key resource for quantum information tasks. In this work, we introduce a new class of quantum many-body dynamics, termed…

Quantum Physics · Physics 2025-07-25 Wonjun Lee , Hyukjoon Kwon , Gil Young Cho

Using one- and two-body density matrices, we calculate the spatial and momentum distributions, two-particle Hanbury-Brown Twiss (HBT) correlation functions, and the chaotic parameter $\lambda$ in HBT interferometry for the systems of boson…

Nuclear Theory · Physics 2013-11-20 Jie Liu , Peng Ru , Wei-Ning Zhang , Cheuk-Yin Wong

The concept of quantum many-body scars has recently been put forward as a route to describe weak ergodicity breaking and violation of the Eigenstate Thermalization Hypothesis. We propose a simple setup to generate quantum many-body scars in…

Quantum Gases · Physics 2020-04-29 Hongzheng Zhao , Joseph Vovrosh , Florian Mintert , Johannes Knolle

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP). The associated dynamics has been argued to bear close…

Quantum Physics · Physics 2023-08-15 Maarten Van Damme , Jean-Yves Desaules , Zlatko Papić , Jad C. Halimeh