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Time-periodic dynamical systems occur commonly both in nature and as engineered systems. Large-scale linear time-periodic dynamical systems, for example, may arise through linearization of a nonlinear system about a given periodic solution…

数值分析 · 数学 2025-08-04 Sam Bender , Christopher Beattie

The dynamics of an isolated quantum system is coherent and unitary. Weak coupling to the environment leads to decoherence, which is traditionally modeled with a Lindblad equation for the system's density matrix. Starting from a pure state,…

量子物理 · 物理学 2021-02-23 John Gunderson , Jacob Muldoon , Kater W. Murch , Yogesh N. Joglekar

Out-of-time-order correlators (OTOCs) progressively play an important role in different fields of physics, particularly in the non-equilibrium quantum many-body systems. In this paper, we show that OTOCs can be used to prob the Floquet…

统计力学 · 物理学 2022-03-11 Sara Zamani , R. Jafari , A. Langari

We show that the correlation functions of a class of periodically driven integrable closed quantum systems approach their steady state value as $n^{-(\alpha+1)/\beta}$, where $n$ is the number of drive cycles and $\alpha$ and $\beta$ denote…

统计力学 · 物理学 2022-03-16 Sreemayee Aditya , Sutapa Samanta , Arnab Sen , K. Sengupta , Diptiman Sen

We study the time evolution of a single spin coupled inhomogeneously to a spin environment. Such a system is realized by a single electron spin bound in a semiconductor nanostructure and interacting with surrounding nuclear spins. We find…

介观与纳米尺度物理 · 物理学 2009-11-07 John Schliemann , Alexander V. Khaetskii , Daniel Loss

Quantum wires subject to the combined action of spin-orbit and Zeeman coupling in the presence of \emph{s}-wave pairing potentials (superconducting proximity effect in semiconductors or superfluidity in cold atoms) are one of the most…

介观与纳米尺度物理 · 物理学 2013-03-25 Andres A. Reynoso , Diego Frustaglia

We investigate the role of symmetries in determining the random matrix class describing quantum thermalization in a periodically driven many body quantum system. Using a combination of analytical arguments and numerical exact…

统计力学 · 物理学 2016-03-18 N. Regnault , Rahul Nandkishore

We experimentally study a periodically driven many-body localized system realized by interacting fermions in a one-dimensional quasi-disordered optical lattice. By preparing the system in a far-from-equilibrium state and monitoring the…

量子气体 · 物理学 2017-05-24 Pranjal Bordia , Henrik Lüschen , Ulrich Schneider , Michael Knap , Immanuel Bloch

We find a different mechanism for suppression of decay in an open one-dimensional lattice system, which originates from a dark Floquet state, a sink state to which the system is asymptotically driven, whose overall probability is determined…

量子物理 · 物理学 2020-08-05 Zhao-Yun Zeng , Lei Li , Baiyun Yang , Jinpeng Xiao , Xiaobing Luo

Intense time-periodic laser fields can transform the electronic structure of a solid into strongly modified Floquet-Bloch bands. While this suggests multiple pathways to induce electronic orders such as superconductivity or charge density…

强关联电子 · 物理学 2019-01-14 Nagamalleswararao Dasari , Martin Eckstein

Heat conduction in low-dimensional systems exhibits strong deviations from Fourier behavior due to anharmonicity and long-lived vibrational correlations, challenging conventional computational approaches. The…

We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of periodically driven $p$-spin models, which describe a collection of spin-1/2 particles with all-to-all $p$-body interactions. Given the mean-field nature…

量子物理 · 物理学 2022-04-14 Manuel H. Muñoz-Arias , Karthik Chinni , Pablo M. Poggi

Semiclassical descriptions of a few-level system coupled to an electromagnetic field mode reduce the field to a time-dependent driving term. Although such methods are widely used, the underlying quantum character of the field generates…

量子物理 · 物理学 2026-03-19 E. K. Twyeffort , A. D. Armour

This article reviews theoretical methods for analyzing Floquet engineering (FE) phenomena in open (dissipative) quantum or classical systems, with an emphasis on our recent results. In many theoretical studies for FE in quantum systems,…

强关联电子 · 物理学 2025-10-28 Masahiro Sato , Tatsuhiko N. Ikeda

Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent…

In this work we propose an approach for implementing time-evolution of a quantum system using product formulas. The quantum algorithms we develop have provably better scaling (in terms of gate complexity and circuit depth) than a naive…

Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical…

量子物理 · 物理学 2016-11-23 Albert Verdeny , Joaquim Puig , Florian Mintert

Open quantum systems, when driven by a periodic field, can relax to effective statistical ensembles that resemble their equilibrium counterparts. We consider a class of problems in which a periodically- driven quantum system is allowed to…

统计力学 · 物理学 2015-05-27 Thomas Iadecola , Claudio Chamon

We propose a method to study the time evolution of correlated electrons driven by an harmonic perturbation. Combining Floquet formalism to include the time-dependent field and Cluster Perturbation Theory to solve the many-body problem in…

强关联电子 · 物理学 2016-10-19 M. Puviani , F. Manghi

We consider the dynamics of an XY spin chain subjected to an external transverse field which is periodically quenched between two values. By deriving an exact expression of the Floquet Hamiltonian for this out-of-equilibrium protocol with…

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