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相关论文: Slow approach to adiabaticity in many-body non-Her…

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For harmonic-trapped atomic systems, we report system-independent non-adiabatic features in the response to interaction ramps. We provide results for several different systems in one, two, and three dimensions: bosonic and fermionic Hubbard…

量子气体 · 物理学 2013-05-06 Masudul Haque , F. E. Zimmer

The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As a concrete model, we consider a one-dimensional tight-binding model with asymmetric hopping…

量子物理 · 物理学 2023-12-15 Takahiro Orito , Ken-Ichiro Imura

The quantum adiabatic theorem is a fundamental result in quantum mechanics, with a multitude of applications, both theoretical and practical. Here, we investigate the dynamics of adiabatic processes for quantum many-body systems %in detail…

量子物理 · 物理学 2025-08-15 Vibhu Mishra , Salvatore Manmana , Stefan Kehrein

Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on Berry's transitionless driving algorithm or on dynamical invariants. We work out the basic…

量子物理 · 物理学 2015-09-18 S. Ibáñez , S. Martínez-Garaot , Xi Chen , E. Torrontegui , J. G. Muga

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

In this paper the evolution of a quantum system drived by a non-Hermitian Hamiltonian depending on slowly-changing parameters is studied by building an universal high-order adiabatic approximation(HOAA) method with Berry's phase ,which is…

高能物理 - 理论 · 物理学 2009-10-22 Chang-Pu Sun

Shortcuts to adiabaticity are alternative fast processes which reproduce the same final state as the adiabatic process in a finite or even shorter time, which have been extended from Hermitian systems to non-Hermitian systems in recent…

量子物理 · 物理学 2024-04-15 T. Z. Luan , H. Z. Shen , X. X. Yi

Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport,…

Many-body localized phases retain memory of their initial conditions in disordered interacting systems with unitary dynamics. The stability of the localized phase due to the breakdown of unitarity is of relevance to experiment in the…

无序系统与神经网络 · 物理学 2024-03-19 József Mák , M. J. Bhaseen , Arijeet Pal

We investigate microscopically the tunneling dynamics in spontaneous fission of atomic nuclei. To this end, we employ a schematic solvable model with a pairing-plus-quadrupole interaction. The spontaneous decay of a system is simulated by…

核理论 · 物理学 2020-07-01 K. Hagino , G. F. Bertsch

Non-Hermitian systems are widespread in both classical and quantum physics. The dynamics of such systems has recently become a focal point of research, showcasing surprising behaviors that include apparent violation of the adiabatic theorem…

量子物理 · 物理学 2026-01-15 Parveen Kumar , Yuval Gefen , Kyrylo Snizhko

We discuss the application of the adiabatic perturbation theory to analyze the dynamics in various systems in the limit of slow parametric changes of the Hamiltonian. We first consider a two-level system and give an elementary derivation of…

统计力学 · 物理学 2015-05-14 C. De Grandi , A. Polkovnikov

The adiabatic theorem is a fundamental result established in the early days of quantum mechanics, which states that a system can be kept arbitrarily close to the instantaneous ground state of its Hamiltonian if the latter varies in time…

量子气体 · 物理学 2022-06-01 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can be solved exactly, and will help us to…

A non-Hermitian shortcut to adiabaticity is introduced. By adding an imaginary term in the diagonal elements of the Hamiltonian of a two state quantum system, we show how one can cancel the nonadiabatic losses and perform an arbitrarily…

量子物理 · 物理学 2013-06-05 Boyan T. Torosov , Giuseppe Della Valle , Stefano Longhi

High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short…

量子物理 · 物理学 2024-10-28 Jonas F. G. Santos

In several situations, most notably when describing metastable states, a system can evolve according to an effective non hermitian Hamiltonian. To each eigenvalue of a non hermitian Hamiltonian is associated an eigenstate $\vert\phi\rangle$…

量子物理 · 物理学 2009-10-30 Y. Aharonov , S. Massar , S. Popescu , J. Tollaksen , L. Vaidman

Adiabatic theorem and non-adiabatic corrections have been widely applied in modern quantum technology. Recently, non-adiabatic linear response theory has been developed to probe the many-body correlations in closed systems. In this work, we…

量子气体 · 物理学 2025-09-10 Xiaotian Nie , Wei Zheng

We generalize the adiabatic approximation to the case of open quantum systems, in the joint limit of slow change and weak open system disturbances. We show that the approximation is ``physically reasonable'' as under wide conditions it…

量子物理 · 物理学 2016-08-16 Patrik Thunström , Johan Åberg , Erik Sjöqvist

We develop a theoretical description of non-Hermitian time evolution that accounts for the break- down of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigen-energies…

量子物理 · 物理学 2018-07-25 Hailong Wang , Li-Jun Lang , Y. D. Chong
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