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External driving is emerging as a promising tool for exploring new phases in quantum systems. The intrinsically non-equilibrium states that result, however, are challenging to describe and control. We study the steady states of a…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Karthik I. Seetharam , Charles-Edouard Bardyn , Netanel H. Lindner , Mark S. Rudner , Gil Refael

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh

General aspects of the Fluctuation-Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the…

Statistical Mechanics · Physics 2008-09-01 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lamberto Rondoni , Angelo Vulpiani

Graphene exhibits extremely strong optical nonlinearity when a strong perpendicular magnetic field is applied, the response current shows strong field dependence even for moderate light intensity, and the perturbation theory fails. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 J. L. Cheng , C. Guo

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

We develop a Floquet approach to solve time-periodic quantum Langevin equations in steady state. We show that two-time correlation functions of system operators can be expanded in a Fourier series and that a generalized Wiener-Khinchin…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Daniel Malz , Andreas Nunnenkamp

We demonstrate longtime coherent subharmonic motion of a many-boson system subjected to an external time-periodic driving force. The underlying mechanism is exemplified numerically through analysis of a periodically driven Bose-Hubbard…

Quantum Physics · Physics 2025-10-07 Steffen Seligmann , Hamed Koochaki Kelardeh , Martin Holthaus

Density functional theory in the local or semi-local density approximation is a powerful tool for materials simulation, yet it struggles in many cases to describe collective electronic order that is driven by electronic interactions. In…

Strongly Correlated Electrons · Physics 2023-09-26 Adam H. Walker , Chris J. Pickard , Andrew G. Green

The single-band current-dipole Kubo formula for the dynamical conductivity of heavily doped graphene from Kup\v{c}i\'{c} [Phys. Rev. B 91, 205428 (2015)] is extended to a two-band model for conduction $\pi$ electrons in lightly doped…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 I. Kupčić , G. Nikšić , Z. Rukelj , D. Pelc

Non-equilibrium steady states are created when a periodically driven quantum system is also incoherently interacting with an environment -- as it is the case in most realistic situations. The notion of Floquet engineering refers to the…

Materials Science · Physics 2023-07-12 Alberto Castro , Shunsuke A. Sato

Fluctuation theorems have a very special place in the study of non equilibrium dynamics of physical systems. The form in which it is used most extensively is the Gallavoti-Cohen Fluctuation Theorem which is in terms of the distribution of…

Classical Physics · Physics 2015-12-01 G. S. Agarwal , Sushanta Dattagupta

Driven condensed matter systems consistently pose substantial challenges to theoretical understanding. Progress in the study of such systems has been achieved using the Floquet formalism, but certain aspects of this approach are not well…

Statistical Mechanics · Physics 2013-09-06 Thomas Iadecola , Claudio Chamon , Roman Jackiw , So-Young Pi

Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases,…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Raditya Weda Bomantara

The multimode conductance of a {\em closed} ring is found within the framework of a scattering approach. The expression can be regarded as a generalization of the Landauer formula. The treatment is essentially {\em classical} because we…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Doron Cohen , Yoav Etzioni

Using Kubo's linear response theory, we derive expressions for the frequency-dependent electrical conductivity (Kubo-Greenwood formula), thermopower, and thermal conductivity in a strongly correlated electron system. These are evaluated…

Plasma Physics · Physics 2012-05-04 Bastian Holst , Martin French , Ronald Redmer

We study the many-body physics in twisted bilayer graphene coupled to periodic driving of a circularly polarized light when electron-electron interactions are taken into account. In the limit of high driving frequency $\Omega$, we use…

Strongly Correlated Electrons · Physics 2023-10-11 Peng-Sheng Hu , Yi-Han Zhou , Zhao Liu

We have developed a scattering matrix approach to coherent transport through an adiabatically driven conductor based on photon-assisted processes. To describe the energy exchange with the pumping fields we expand the Floquet scattering…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. Buttiker , M. Moskalets

We propose optical longitudinal conductivity as a realistic observable to detect light-induced Floquet band gaps in graphene. These gaps manifest as resonant features in the conductivity, when resolved with respect to the probing frequency…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Lukas Broers , Ludwig Mathey

Floquet engineering offers a powerful route to enhance emission in time-modulated media. Here, we investigate the influence of time-modulated permittivity in silicon carbide on its intensity spectrum. We consider both the nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2026-02-27 Yuhua Ren , Hui Pan , Jian-Sheng Wang

For a quantum system in a steady state with a constant current of heat or particles driven by a temperature or chemical potential difference between two reservoirs attached to the system, the fluctuation theorem for the current was…

Statistical Mechanics · Physics 2015-06-04 Hiroshi Matsuoka