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We study the growth and saturation of Krylov spread (K-) complexity under random quantum circuits. In Haar-random unitary evolution, we show that, for large system sizes, K-complexity grows linearly before saturating at a late-time value of…

量子物理 · 物理学 2025-05-22 Himanshu Sahu , Aranya Bhattacharya , Pingal Pratyush Nath

Equilibrium theormodynamics is characterized by two fundamental ideas: thermalisation--that systems approach a late time thermal state; and phase structure--that thermal states exhibit singular changes as various parameters characterizing…

无序系统与神经网络 · 物理学 2017-05-24 R. Moessner , S. L. Sondhi

Floquet theory is an indispensable tool for analysing periodically-driven quantum many-body systems. Although it does not universally extend to classical systems, some of its methodologies can be adopted in the presence of well-separated…

统计力学 · 物理学 2022-08-22 Thomas Veness , Kay Brandner

We use field-theoretic methods to explore the statistics of eigenfunctions of the Floquet operator for a large family of Floquet random quantum circuits. The correlation function of the quasienergy eigenstates is calculated and shown to…

量子物理 · 物理学 2022-10-14 Yunxiang Liao , Victor Galitski

The dynamics of quantum entanglement plays a central role in explaining the emergence of thermal equilibrium in isolated many-body systems. However, entanglement is notoriously hard to measure. Recent works have introduced a notion of…

量子物理 · 物理学 2025-03-20 Xiaozhou Feng , Matteo Ippoliti

"Deep thermalization" describes the emergence of universal wavefunction distributions in quantum many-body dynamics, appearing on a local subsystem upon measurement of its environment. In this work, we study in detail the effect of…

量子物理 · 物理学 2025-06-11 Rui-An Chang , Harshank Shrotriya , Wen Wei Ho , Matteo Ippoliti

We use Floquet formalism to study fluctuations in periodically modulated continuous quantum thermal machines. We present a generic theory for such machines, followed by specific examples of sinusoidal, optimal, and circular modulations…

量子物理 · 物理学 2023-08-02 Arpan Das , Shishira Mahunta , Bijay Kumar Agarwalla , Victor Mukherjee

We study thermalization within a quantum system with an enhanced capacity to store information. This system has been recently introduced to provide a prototype model of how a black hole processes and stores information. We perform a…

量子物理 · 物理学 2025-04-03 Oleg Kaikov

We investigate the probability distribution of the quantum fluctuations of thermodynamic functions of finite, ballistic, phase-coherent Fermi gases. Depending on the chaotic or integrable nature of the underlying classical dynamics, on the…

介观与纳米尺度物理 · 物理学 2009-11-07 P. Leboeuf , A. G. Monastra

We study the dynamics and thermalization of the Fredkin spin chain, a system with local three-body interactions, particle conservation and explicit kinetic constraints. We consider deformations away from its stochastic point in order to…

统计力学 · 物理学 2024-11-05 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

We design several examples of constrained, symmetric quantum circuit dynamics that generate non-equilibrium steady states. The qubit networks maintain local memory of the initial conditions and display inhomogeneous subsystem dynamics over…

量子物理 · 物理学 2025-05-02 Unnati Akhouri , Sarah Shandera , Jackson Henry

Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain…

高能物理 - 理论 · 物理学 2020-04-14 Lorenzo Piroli , Christoph Sünderhauf , Xiao-Liang Qi

We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a…

统计力学 · 物理学 2020-04-08 Achilleas Lazarides , Sthitadhi Roy , Francesco Piazza , Roderich Moessner

Periodically driven closed quantum systems are expected to eventually heat up to infinite temperature reaching a steady state described by a circular orthogonal ensemble (COE). However, such finite driven systems may exhibit sufficiently…

量子物理 · 物理学 2025-02-11 Tista Banerjee , K. Sengupta

Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized…

We introduce a semiclassical theory for strong localization that may arise in the context of many-body thermalization. As a minimal model for thermalization we consider a few-site Bose-Hubbard model consisting of two weakly interacting…

量子物理 · 物理学 2018-02-20 Christine Khripkov , Amichay Vardi , Doron Cohen

We study heating dynamics in isolated quantum many-body systems driven periodically at high frequency and large amplitude. Combining the high-frequency expansion for the Floquet Hamiltonian with Fermi's golden rule (FGR), we develop a…

统计力学 · 物理学 2021-10-22 Tatsuhiko N. Ikeda , Anatoli Polkovnikov

Eigenstate thermalization has been numerically shown to occur for few-body observables in a wide range of nonintegrable models. For intensive sums of few-body observables, a weaker version of eigenstate thermalization known as weak…

统计力学 · 物理学 2025-05-13 Patrycja Łydżba , Rafał Świętek , Marcin Mierzejewski , Marcos Rigol , Lev Vidmar

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

We consider the question of thermalization for isolated quantum systems after a sudden parameter change, a so-called quantum quench. In part icular we investigate the pre-requisites for thermalization focusing on the statistical properties…

量子气体 · 物理学 2011-01-10 G. Biroli , C. Kollath , A. Laeuchli