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Dynamical characterization of topological phases under quantum quench dynamics has been demonstrated as a powerful and efficient tool. Previous studies have been focused on systems of which the Hamiltonian consists of matrices that commute…

Quantum Physics · Physics 2023-05-24 Xi Wu , Panpan Fang , Fuxiang Li

By directly using the probability formulas of quantum trajectories, we construct an auxiliary open quantum system for a periodically driven open quantum system whose dynamics is governed by the Floquet quantum master equation. This…

Statistical Mechanics · Physics 2021-02-17 Fei Liu

Studies of periodically driven one-dimensional many-body systems have advanced our understanding of complex systems and stimulated promising developments in quantum simulation. It is hence of interest to go one step further, by…

Quantum Physics · Physics 2021-06-04 Raditya Weda Bomantara , Sen Mu , Jiangbin Gong

Dynamical quantum phase transitions (DQPTs) are manifested by time-domain nonanalytic behaviors of many-body systems.Introducing a quench is so far understood as a typical scenario to induce DQPTs.In this work, we discover a novel type of…

We demonstrate that a site-dependent driving of a periodic potential allows for the controlled manipulation of a quantum particle on length scales of the lattice spacing. Specifically we observe for distinct driving frequencies a near…

Quantum Physics · Physics 2015-05-20 Thomas Wulf , Benno Liebchen , Peter Schmelcher

We study universal chaotic dynamics of a large class of periodically driven critical systems described by spatially inhomogeneous conformal field theories. By employing an effective curved spacetime approach, we show that the onset of…

Strongly Correlated Electrons · Physics 2025-09-24 Bastien Lapierre , Tokiro Numasawa , Titus Neupert , Shinsei Ryu

Based on the Floquet scattering theory, we analytically investigate the topological spin pumping for an exactly solvable model. Floquet spin Chern numbers are introduced to characterize the periodically time-dependent system. The…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 W. Y. Deng , W. Luo , H. Geng , M. N. Chen , L. Sheng , D. Y. Xing

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…

Quantum Physics · Physics 2021-01-01 Mirko Amico , Roman Ya. Kezerashvili

Anholonomies in the parametric dependences of the eigenvalues and the eigenvectors of Floquet operators that describe unit time evolutions of periodically driven systems, e.g., kicked rotors, are studied. First, an example of the…

Quantum Physics · Physics 2007-11-15 Manabu Miyamoto , Atushi Tanaka

Out-of-equilibrium phases in many-body systems constitute a new paradigm in quantum matter - they exhibit dynamical properties that may otherwise be forbidden by equilibrium thermodynamics. Among these non-equilibrium phases are…

Quantum Physics · Physics 2025-10-29 M. Will , T. A. Cochran , E. Rosenberg , B. Jobst , N. M Eassa , P. Roushan , M. Knap , A. Gammon-Smith , F. Pollmann

We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a…

Strongly Correlated Electrons · Physics 2015-04-21 Stefanos Kourtis , Claudio Castelnovo

The fundamental concept underlying topological phenomena posits the geometric phase associated with eigenstates. In contrast to this prevailing notion, theoretical studies on time-varying Hamiltonians allow for a new type of topological…

Quantum Physics · Physics 2025-11-27 Pengfei Lu , Yang Liu , Qifeng Lao , Teng Liu , Xinxin Rao , Ji Bian , Hao Wu , Feng Zhu , Le Luo

The periodic driving of a quantum system can enable new topological phases without analogs in static systems. This provides a route towards preparing non-equilibrium quantum phases rooted into the non-equilibrium nature by periodic driving…

Strongly Correlated Electrons · Physics 2020-07-22 Yufei Zhu , Tao Qin , Xinxin Yang , Gao Xianlong , Zhaoxin Liang

We theoretically propose a quantum simulation scheme for the toric-code Hamiltonian, the paradigmatic model of a quantum spin liquid, based on time-periodic driving. We develop a hybrid continuous-digital strategy that exploits the…

Quantum Physics · Physics 2025-11-04 Francesco Petiziol , Sandro Wimberger , André Eckardt , Florian Mintert

We investigate the rich non-equilibrium physics arising in periodically driven open quantum systems, specifically those realized within microcavity resonators, whose dynamics are governed by a non-Hermitian Hamiltonian hosting Floquet…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Gaurab Kumar Dash , Subhendu Kumar Patra , Diptiman Sen , Manisha Thakurathi

The Floquet code utilizes a periodic sequence of two-qubit measurements to realize the topological order. After each measurement round, the instantaneous stabilizer group can be mapped to a honeycomb toric code, explaining the topological…

Quantum Physics · Physics 2024-02-20 DinhDuy Vu , Ali Lavasani , Jong Yeon Lee , Matthew P. A. Fisher

We study the quantum version of a tilting and flashing Hamiltonian ratchets, consisting of a periodic potential and a time-periodic driving field. The system dynamics is governed by a Floquet evolution matrix bearing the symmetry of the…

Quantum Physics · Physics 2009-11-13 S. Denisov , L. Morales-Molina , S. Flach , P. Hanggi

When a closed quantum system is driven periodically with period $T$, it approaches a periodic state synchronized with the drive in which any local observable measured stroboscopically approaches a steady value. For integrable systems, the…

Statistical Mechanics · Physics 2014-08-06 Achilleas Lazarides , Arnab Das , Roderich Moessner

We consider a quantum topological frequency converter, realized by coupling a qubit to two slow harmonic modes. The dynamics of such a system is the quantum analog of topological pumping. Our quantum mechanical description shows that an…

Quantum Physics · Physics 2024-10-15 Jacquelin Luneau , Benoît Douçot , David Carpentier

The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the…

Quantum Gases · Physics 2019-07-02 F. Nur Ünal , Babak Seradjeh , André Eckardt