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Quantum adiabaticity is the evolution of a quantum system that remains close to an instantaneous eigenstate of a time-dependent Hamiltonian. Using Floquet formalism, we derive a rigorous sufficient condition for adiabaticity in closed,…

量子物理 · 物理学 2026-05-12 Jie Gu , X. -G. Zhang

Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent nonanalytic behaviors of observables in time. In this work, we introduce a quench-free and generic approach to engineer and control FDQPTs for both pure and…

统计力学 · 物理学 2022-09-30 J. Naji , R. Jafari , Longwen Zhou , A. Langari

Achieving high-fidelity single- and two-qubit gates is essential for executing arbitrary digital quantum algorithms and for building error-corrected quantum computers. We propose a theoretical framework for implementing quantum gates using…

The recent discoveries of higher-order topological insulators (HOTIs) have shifted the paradigm of topological materials, which was previously limited to topological states at boundaries of materials, to those at boundaries of boundaries,…

介观与纳米尺度物理 · 物理学 2020-12-17 Weiwei Zhu , Haoran Xue , Jiangbin Gong , Yidong Chong , Baile Zhang

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

量子气体 · 物理学 2015-09-25 André Eckardt , Egidijus Anisimovas

We present a brief overview of some of the analytic perturbative techniques for the computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many-body system. The key technical points about each of the methods…

强关联电子 · 物理学 2021-09-08 Arnab Sen , Diptiman Sen , K. Sengupta

The dynamics of qubits coupled to a harmonic oscillator with time-periodic coupling is investigated in the framework of Floquet theory. This system can be used to model nonadiabatic phenomena that require a periodic modulation of the…

量子物理 · 物理学 2021-01-01 Mirko Amico , Roman Ya. Kezerashvili

We experimentally study the transient dynamics of a dissipative superconducting qubit under periodic drive towards its nonequilibrium steady states. The corresponding stroboscopic evolution, given by the qubit states at times equal to…

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In…

介观与纳米尺度物理 · 物理学 2010-12-14 Takuya Kitagawa , Erez Berg , Mark Rudner , Eugene Demler

Periodically driven quantum systems known as Floquet insulators can host topologically protected bound states known as "$\pi$ modes" that exhibit response at half the frequency of the drive. Such states can also appear in undriven lattice…

量子物理 · 物理学 2023-11-13 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

A Floquet quantum system is governed by a Hamiltonian that is periodic in time. Consider the space of piecewise time-independent Floquet systems with (geometrically) local interactions. We prove that for all but a measure zero set of…

量子物理 · 物理学 2024-07-18 Yichen Huang

Periodically-driven systems engender a rich competition between the time scales of the drives and those of the system, leading to a limited ability to describe the system in full. We present a framework for the description of interacting…

量子物理 · 物理学 2025-02-25 Kilian Seibold , Orjan Ameye , Oded Zilberberg

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged…

量子气体 · 物理学 2015-08-20 Marin Bukov , Luca D'Alessio , Anatoli Polkovnikov

Prethermalization, where quasi-steady states are realized in the intermediate long time regime (prethermal regime), in periodically driven (Floquet) systems is an important phenomenon since it provides a platform of nontrivial Floquet…

介观与纳米尺度物理 · 物理学 2019-08-14 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

We show that the time-dependence of electromagnetic field in a parametrically modulated cavity can be effectively analyzed using a $Floquet$ $map$. The map relates the field states separated by one period of the drive; iterative application…

量子物理 · 物理学 2019-04-17 Ivar Martin

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

量子物理 · 物理学 2024-10-24 Paul Manuel Schindler , Marin Bukov

Superconducting quantum circuits, such as the superconducting phase qubit, have multiple quantum states that can interfere with ideal qubit operation. The use of multiple frequency control pulses, resonant with the energy differences of the…

量子物理 · 物理学 2013-05-29 Anne M. Forney , Steven R. Jackson , Frederick W. Strauch

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

量子物理 · 物理学 2022-04-25 J. R. M. de Nova , F. Sols

Floquet engineering, modulating quantum systems in a time periodic way, lies at the central part for realizing novel topological dynamical states. Thanks to the Floquet engineering, various new realms on experimentally simulating…

量子物理 · 物理学 2022-07-13 Huan-Yu Wang , Xiao-Ming Zhao , Lin Zhuang , Wu-Ming Liu

Implementation of high-fidelity gate operations on integrated-qubit systems is of vital importance for fault-tolerant quantum computation. Qubit frequency allocation is an essential part of improving control fidelity. A metric for qubit…

量子物理 · 物理学 2025-10-24 Kentaro Heya , Moein Malekakhlagh , Seth Merkel , Naoki Kanazawa , Emily Pritchett