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We give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems. These corrections have a two-fold origin: (i) conventional ones originating from the gradually changing…

The ultrafast optical manipulation of ordered phases in strongly correlated materials is a topic of significant theoretical, experimental, and technological interest. Inspired by a recent experiment on light-induced superconductivity in…

超导电性 · 物理学 2017-07-26 Mehrtash Babadi , Michael Knap , Ivar Martin , Gil Refael , Eugene Demler

We find nonequilibrium phase transitions accompanied by multiple (nested) hysteresis behaviors in superconductors coupled to baths under a time-periodic light driving. The transitions are demonstrated with a full phase diagram in the domain…

超导电性 · 物理学 2025-12-23 Huanyu Zhang , Kazuaki Takasan , Naoto Tsuji

Fermi energies in fullerene compounds and cuprates are extremely small as consequence of the small number of charge carriers and are comparable to the phonon frequency scale. In this situation the conventional Migdal-Eliashberg theory does…

超导电性 · 物理学 2009-10-31 M. Botti , E. Cappelluti , C. Grimaldi , L. Pietronero

We solve the anisotropic, full-bandwidth and non-adiabatic Eliashberg equations for phonon-mediated superconductivity by fully including the first vertex correction in the electronic self-energy. The non-adiabatic equations are solved…

超导电性 · 物理学 2020-07-06 Fabian Schrodi , Peter M. Oppeneer , Alex Aperis

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

Periodic driving can create topological phases of matter absent in static systems. In terms of the displacement of the position expectation value of a time-evolving wavepacket in a closed system, a type of adiabatic dynamics in periodically…

介观与纳米尺度物理 · 物理学 2015-06-23 Hailong Wang , Longwen Zhou , Jiangbin Gong

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By…

超导电性 · 物理学 2023-03-01 Nina Girotto , Dino Novko

Quantum systems subject to time periodic fields of finite amplitude, lambda, have conventionally been handled either by low order perturbation theory, for lambda not too large, or by exact diagonalization within a finite basis of N states.…

凝聚态物理 · 物理学 2009-10-30 Daniel W. Hone , Roland Ketzmerick , Walter Kohn

We propose to combine the Floquet formalism for systems in ac fields with the dynamical mean-field theory to study correlated electron systems periodically driven out of equilibrium by external fields such as intense laser light. This…

强关联电子 · 物理学 2009-01-23 Naoto Tsuji , Takashi Oka , Hideo Aoki

Theory of superconductivity in two-band non-adiabatic systems with strong electron correlations in the linear approximation over non-adiabaticity is built in the article. Having assumed weak electron-phonon interaction analytical…

超导电性 · 物理学 2007-05-23 M. E. Palistrant , V. A. Ursu

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…

介观与纳米尺度物理 · 物理学 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

High-$T_c$ superconductors have Fermi energies $E_F$ much smaller than conventional metals comparable to phonon frequencies. In such a situation nonadiabatic effects are important. A generalization of Eliashberg theory in the nonadiabatic…

超导电性 · 物理学 2009-10-31 P. Paci , C. Grimaldi , L. Pietronero , E. Cappelluti

Inducing topological transitions by a time-periodic perturbation offers a route to controlling the properties of materials. Here we show that the adiabatic preparation of a non-trivial state involves a selective population of edge-states,…

量子物理 · 物理学 2016-12-28 Lorenzo Privitera , Giuseppe E. Santoro

We study how the non-adiabatic effect causes the observable fluctuation in the "geometric phase" for a two-level system, which is defined as the experimentally measurable quantity in the adiabatic limit. From the Rabi's exact solution to…

量子物理 · 物理学 2009-08-08 Qing Ai , Wenyi Huo , Gui Lu Long , C. P. Sun

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

强关联电子 · 物理学 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

A theory for nonlinear optics of semiconductors in the presence of an intense terahertz electric field is constructed based on the double-line Feynman diagrams, in which the nonperturbative effect of the intense terahertz field is fully…

凝聚态物理 · 物理学 2009-11-10 Ren-Bao Liu , Bang-Fen Zhu

In this work we study the effects of nonadiabatic external driving on the thermodynamics of an electronic system coupled to two electronic leads and to a phonon mode, with and without damping. In the limit of slow driving, we establish…

统计力学 · 物理学 2022-06-03 Jakob Bätge , Amikam Levy , Wenjie Dou , Michael Thoss

We study theoretically AB-stacked honeycomb bilayers driven by light in resonance with an infrared phonon within a tight-binding description. We characterize the phonon properties of honeycomb bilayers with group theory and construct an…

介观与纳米尺度物理 · 物理学 2021-12-28 Martin Rodriguez-Vega , Michael Vogl , Gregory A. Fiete

In quantum mechanics, adiabatic elimination is a standard tool that produces a low-lying reduced Hamiltonian for a relevant subspace of states, incorporating effects of its coupling to states with much higher energy. Suppose this powerful…

量子物理 · 物理学 2020-09-21 Yiming Pan , Ye Yu , Huaiqiang Wang , Tao Chen , Xiaopeng Shen , Qingqing Cheng
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