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Periodic driving can be used to coherently control the properties of a many-body state and to realize new phases which are not accessible in static systems. For example, exposing materials to intense laser pulses enables to provoke…

We propose and analyze two distinct routes toward realizing interacting symmetry-protected topological (SPT) phases via periodic driving. First, we demonstrate that a driven transverse-field Ising model can be used to engineer complex…

We explore the impact of commensurate multifrequency driving protocols on the stability of topological edge modes in topological 1D systems of spinless fermions. Using Floquet theory, we show that all the topological phase transitions can…

Strongly Correlated Electrons · Physics 2021-01-04 Paolo Molignini

Cavity optomechanics and electromechanics form an established field of research investigating the interactions between electromagnetic fields and the motion of quantum mechanical resonators. In many applications, linearised form of the…

Quantum Physics · Physics 2020-06-18 Iivari Pietikäinen , Ondřej Černotík , Radim Filip

Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion…

Quantum Physics · Physics 2023-07-12 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

Floquet engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to…

Quantum Physics · Physics 2026-01-07 Chen-Yang Wang , Jing-Ping Xu , Ce Wang , Ya-Ping Yang

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

Quantum Physics · Physics 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

We present a method for simulating any non-interacting and time-periodic tight-binding Hamiltonian in Fourier space using electric circuits made of inductors and capacitors. We first map the time-periodic Hamiltonian to a Floquet…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 S. Sajad Dabiri , H. Cheraghchi

A quantum critical system described at low energy by a conformal field theory (CFT) and subjected to a time-periodic boundary drive displays multiple dynamical regimes depending on the drive frequency. We compute the behavior of quantities…

Strongly Correlated Electrons · Physics 2017-07-03 William Berdanier , Michael Kolodrubetz , Romain Vasseur , Joel E. Moore

An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces that are not accessible to commonly employed conventional methods. A strategy is…

Quantum Gases · Physics 2021-11-29 Nils Krüger , Martin Holthaus

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

We develop a systematic perturbative framework to engineer an arbitrary target Hamiltonian in the Floquet phase space of a periodically driven oscillator based on Floquet-Magnus expansion. The high-order errors in the engineered Floquet…

Quantum Physics · Physics 2025-02-27 Yingdan Xu , Lingzhen Guo

The non-Hermitian models, which are symmetric under parity (P) and time-reversal (T) operators, are the cornerstone for the fabrication of new ultra-sensitive optoelectronic devices. However, providing the gain in such systems usually…

Quantum Physics · Physics 2023-03-17 Hamed Ghaemi-Dizicheh , Hamidreza Ramezani

Non-Hermitian Hamiltonians provide a simple picture for analyzing systems with natural or induced gain and loss; however, in general, such Hamiltonians feature complex energies and a corresponding non-orthonormal eigenbasis. Provided that…

Quantum Physics · Physics 2020-07-01 Andrew K. Harter , Naomichi Hatano

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…

Statistical Mechanics · Physics 2016-03-18 N. Regnault , Rahul Nandkishore

We compute the Floquet Hamiltonian $H_F$ for weakly interacting fermions subjected to a continuous periodic drive using a Floquet perturbation theory (FPT) with the interaction amplitude being the perturbation parameter. This allows us to…

Strongly Correlated Electrons · Physics 2021-01-04 Roopayan Ghosh , Bhaskar Mukherjee , K. Sengupta

Conformal field theories (CFT) play an important role in quantum field theories as they allow for exact studies that are hard to access without the conformal symmetries in place. A remarkable recent development is the application of…

Strongly Correlated Electrons · Physics 2021-03-17 Malthe Andersen , Frederik Nørfjand , Nikolaj Thomas Zinner

We review methods for using time-periodic fields (e.g., laser or microwave fields) to induce non-equilibrium topological phenomena in quantum many-body systems. We discuss how such fields can be used to change the topological properties of…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Mark S. Rudner , Netanel H. Lindner

Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with…

Quantum Physics · Physics 2018-02-19 Pengfei Liang , Michael Marthaler , Lingzhen Guo