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We demonstrate that the strongly nonlinear regime of the magnetic dynamics driven high harmonic generation (HHG) can be captured through an adiabatic treatment. The underlying instantaneous energy dispersion reveal a highly nonlinear term…

介观与纳米尺度物理 · 物理学 2024-06-26 O. Ly

A new and intuitive perturbative approach to time-dependent quantum mechanics problems is presented, which is useful in situations where the evolution of the Hamiltonian is slow. The state of a system which starts in an instantaneous…

量子物理 · 物理学 2009-11-11 R. MacKenzie , E. Marcotte , H. Paquette

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

Quantum adiabatic evolution is a dynamical evolution of a quantum system under slow external driving. According to the quantum adiabatic theorem, no transitions occur between non-degenerate instantaneous eigen-energy levels in such a…

量子物理 · 物理学 2015-06-18 Qi Zhang , Jiangbin Gong , Biao Wu

Quantum computation by the adiabatic theorem requires a slowly varying Hamiltonian with respect to the spectral gap. We show that the Landau-Zener-St\"uckelberg oscillation phenomenon, that naturally occurs in quantum two level systems…

量子物理 · 物理学 2019-10-23 Yosi Atia , Yonathan Oren , Nadav Katz

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the…

量子物理 · 物理学 2021-06-18 Albert Benseny , Klaus Mølmer

Several misprints and small mistakes were in the initial version. They have been corrected. Following the recent experimental realization of synthetic gauge magnetic forces, Jean Dalibard adressed the question whether the adiabatic ansatz…

偏微分方程分析 · 数学 2012-01-24 Amandine Aftalion , Francis Nier

We consider linear, time-dependent and skew-adjoint perturbations of periodic transport equations on the one-dimensional torus. We describe the long-time behavior of solutions for all non-degenerate perturbations in resonant regime, proving…

偏微分方程分析 · 数学 2025-11-25 Maria Teresa Rotolo

For a periodic Hamiltonian, periodic dynamical invariants may be used to obtain non-degenerate cyclic states. This observation is generalized to the degenerate cyclic states, and the relation between the periodic dynamical invariants and…

量子物理 · 物理学 2008-11-26 Ali Mostafazadeh

The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here we present a classical mechanical model system exhibiting analogous behaviour using two inversely…

介观与纳米尺度物理 · 物理学 2012-08-10 Thomas Faust , Johannes Rieger , Maximilian J. Seitner , Peter Krenn , Jörg P. Kotthaus , Eva M. Weig

The adiabatic theory of resonance one-phonon Raman scattering in semiconductor nanocrystals is revised and extended with perturbative non-adiabatic corrections, given by the Albrecht's B term. This theory is confronted with the…

介观与纳米尺度物理 · 物理学 2009-11-07 E. Menendez-Proupin , Nana Cabo-Bisset

Quantum adiabatic evolution, an important fundamental concept inphysics, describes the dynamical evolution arbitrarily close to the instantaneous eigenstate of a slowly driven Hamiltonian. In most systems undergoing spontaneous…

量子物理 · 物理学 2020-04-28 Min Zhuang , Jiahao Huang , Yongguan Ke , Chaohong Lee

The adiabatic gauge potential (AGP) is the generator of unitary transformations which preserve the eigenbasis of a quantum Hamiltonian under parametric variation. While its usefulness in quantum mechanics has been thoroughly demonstrated in…

混沌动力学 · 物理学 2025-08-07 Nathan Rose , Nachiket Karve , David K. Campbell

The state of an open quantum system undergoing an adiabatic process evolves by following the instantaneous stationary state of its time-dependent generator. This observation allows one to characterize, for a generic adiabatic evolution, the…

统计力学 · 物理学 2024-01-23 Paulo J. Paulino , Igor Lesanovsky , Federico Carollo

A method is proposed to drive an ultrafast non-adiabatic dynamics of an ultracold gas trapped in a box potential. The resulting state is free from spurious excitations associated with the breakdown of adiabaticity, and preserves the quantum…

量子气体 · 物理学 2014-12-02 A. del Campo , M. G. Boshier

Ab initio modeling of conical intersection dynamics is crucial for various photochemical, photophysical, and biological processes. However, adiabatic electronic states obtained from electronic structure computations involve random phases,…

化学物理 · 物理学 2024-06-13 Xiaotong Zhu , Bing Gu

The nonadiabatic dynamic of the electromagnetic field triggers photons generation from the quantum vacuum. Shortcuts to adiabaticity, instead, are protocols that mimic the field's adiabatic dynamic in a finite time. Here, we show how the…

量子物理 · 物理学 2023-08-23 Ricardo R. Ancheyta

We consider a two-level system coupled to an environment that evolves non-adiabatically. We present a non-perturbative method for determining the persistence amplitude whose phase contains all the corrections to Berry's phase produced by…

量子物理 · 物理学 2007-05-23 Frank Gaitan

The viscous inhomogeneities of a relativistic plasma determine a further class of entropic modes whose amplitude must be sufficiently small since curvature perturbations are observed to be predominantly adiabatic and Gaussian over large…

宇宙学与河外天体物理 · 物理学 2016-04-27 Massimo Giovannini

We study the response of a trapped Bose-Einstein condensate to a sudden turn-on of a rotating drive by solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and…

凝聚态物理 · 物理学 2009-11-07 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda