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Localisation-protected quantum order extends the idea of symmetry breaking and order in ground states to individual eigenstates at arbitrary energy. Examples include many-body localised static and $\pi$-spin glasses in Floquet systems. Such…

Disordered Systems and Neural Networks · Physics 2018-08-29 Sthitadhi Roy , Achilleas Lazarides

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 analyse quasi-periodically driven quantum systems that can be mapped exactly to periodically driven ones and find Floquet Time Spirals in analogy with spatially incommensurate spiral magnetic states. Generalising the mechanism to…

Disordered Systems and Neural Networks · Physics 2019-10-09 Hongzheng Zhao , Florian Mintert , Johannes Knolle

Optical drives at terahertz and mid-infrared frequencies in quantum materials are increasingly used to reveal the nonlinear dynamics of collective modes in correlated many-body systems and their interplay with electromagnetic waves. Recent…

We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which…

Quantum Gases · Physics 2018-08-03 Gregor Pieplow , Fernando Sols , Charles E. Creffield

Sensing the internal dynamics of individual nuclear spins or clusters of nuclear spins has recently become possible by observing the coherence decay of a nearby electronic spin: the weak magnetic noise is amplified by a periodic,…

Quantum Physics · Physics 2016-01-05 J. E. Lang , Ren-Bao Liu , T. S. Monteiro

Periodic driving of optical lattices has enabled the creation of novel bandstructures not realizable in static lattice systems, such as topological bands for neutral particles. However, especially driven systems of interacting bosonic…

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…

Statistical Mechanics · Physics 2022-08-22 Thomas Veness , Kay Brandner

Controlled excitation of materials can transiently induce changed or novel properties with many fundamental and technological implications. Especially, the concept of Floquet engineering, manipulation of the electronic structure via…

Materials Science · Physics 2019-09-04 Umberto De Giovannini , Hannes Hübener

We study the stochastic energetic exchanges in quantum heat engines. Due to microreversibility, these obey a fluctuation relation, called the heat engine fluctuation relation, which implies the Carnot bound: no machine can have an…

Quantum Physics · Physics 2015-03-24 Michele Campisi , Jukka Pekola , Rosario Fazio

We construct a family of static, geometrically local Hamiltonians that inherit eigenstate properties of periodically-driven (Floquet) systems. Our construction is a variation of the Feynman-Kitaev clock -- a well-known mapping between…

Quantum Physics · Physics 2025-09-16 Matteo Ippoliti , David M. Long

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

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…

Quantum Physics · Physics 2022-04-25 J. R. M. de Nova , F. Sols

Superconducting cavities with high quality factors, coupled to a fixed-frequency transmon, provide a state-of-the-art platform for quantum information storage and manipulation. The commonly used selective number-dependent arbitrary phase…

Discrete Floquet time crystals (DFTC) are characterized by the spontaneous breaking of the discrete time-translational invariance characteristic of Floquet driven systems. In analogy with equilibrium critical points, also time-crystalline…

Statistical Mechanics · Physics 2023-11-17 Guido Giachetti , Andrea Solfanelli , Lorenzo Correale , Nicolò Defenu

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

Ultrafast characterization and control of many-body interactions and elementary excitations are critical to understanding and manipulating emergent phenomena in strongly correlated systems. In particular, spin interaction plays an important…

Strongly Correlated Electrons · Physics 2018-12-06 Yao Wang , Thomas P. Devereaux , Cheng-Chien Chen

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet…

Disordered Systems and Neural Networks · Physics 2016-08-23 C. W. von Keyserlingk , Vedika Khemani , S. L. Sondhi

We study a Fermionic chain with nearest-neighbor hopping and density-density interactions, where the nearest-neighbor interaction term is driven periodically. We show that such a driven chain exhibits prethermal strong Hilbert space…

Strongly Correlated Electrons · Physics 2023-03-28 Somsubhra Ghosh , Indranil Paul , K. Sengupta

Periodic driving of a quantum system can significantly alter its energy bands and even change the band topology, opening a completely new avenue for engineering novel quantum matter. Although important progress has been made recently in…

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