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An asymptotic approach for a Schroedinger type equation with a non selfadjoint slowly varying Hamiltonian of a special type is developed. The Hamiltonian is assumed to be the result of a small perturbation of an operator with a twofold…

数学物理 · 物理学 2020-05-20 Ignat Fialkovsky , Maria Perel

The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy…

量子物理 · 物理学 2015-06-19 Jordan M. Horowitz , Takahiro Sagawa

Hamiltonian matrices appear in a variety or problems in physics and engineering, mostly related to the time evolution of linear dynamical systems as for instance in ion beam optics. The time evolution is given by symplectic transfer…

综合物理 · 物理学 2018-02-20 C. Baumgarten

Unitary processes allow for the transfer of work to and from Hamiltonian systems. However, to achieve nonzero power for the practical extraction of work, these processes must be performed within a finite time, which inevitably induces…

量子物理 · 物理学 2016-11-01 Yuanjian Zheng , Steve Campbell , Gabriele De Chiara , Dario Poletti

We apply methods of dynamical systems to study the behaviour of the Randall-Sundrum models. We determine evolutionary paths for all possible initial conditions in a 2-dimensional phase space and we investigate the set of accelerated models.…

高能物理 - 理论 · 物理学 2009-11-07 Marek Szydlowski , Mariusz P. Dabrowski , Adam Krawiec

The electrostatics of two-dimensional (2D) lateral pn homojunctions considering the impact of electrostatic doping by means of two split bottom-gates are studied here. Analytical expressions are obtained from the solution of the 2D Poisson…

介观与纳米尺度物理 · 物理学 2023-02-07 Ferney A. Chaves , Anibal Pacheco-Sanchez , David Jimenez

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this article, we…

统计力学 · 物理学 2015-06-16 Jordan M. Horowitz , Juan M. R. Parrondo

The viability of adiabatic quantum computation depends on the slow evolution of the Hamiltonian. The adiabatic switching theorem provides an asymptotic series for error estimates in $1/T$, based on the lowest non-zero derivative of the…

量子物理 · 物理学 2025-12-25 Thomas D. Cohen , Andrew Li , Hyunwoo Oh , Maneesha Sushama Pradeep

We propose a theoretical scheme to realize nonreciprocal transition between two energy levels that can not coupled directly. Suppose they are coupled indirectly by two auxiliary levels with a cyclic four-level configuration, and the four…

量子物理 · 物理学 2022-01-27 Xun-Wei Xu , Hai-Quan Shi , Ai-Xi Chen

We study a deformation of the counterdiabatic-driving Hamiltonian as a systematic strategy for an adiabatic control of quantum states. Using a unitary transformation, we design a convenient form of the driver Hamiltonian. We apply the…

量子物理 · 物理学 2015-04-16 Kazutaka Takahashi

An approach to non-adiabatic dynamics of atoms in molecular and condensed matter systems under general non-equilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second…

材料科学 · 物理学 2018-08-01 L. Kantorovich

Nonadiabatic holonomic quantum computation uses non-Abelian geometric phases to implement a universal set of quantum gates that are robust against control imperfections and decoherence. Until now, a number of three-level-based schemes of…

量子物理 · 物理学 2018-11-16 G. F. Xu , D. M. Tong , Erik Sjöqvist

We consider a time-dependent small quantum system weakly coupled to an environnement, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the…

数学物理 · 物理学 2022-02-16 Alain Joye

On this paper, we have proposed an approach to observe the time-centered difference scheme for dissipative mechanical systems from a Hamiltonian perspective and to introduce the idea of symplectic algorithm to dissipative systems. The…

数学物理 · 物理学 2010-08-06 Tianshu Luo , Yimu Guo

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model…

统计力学 · 物理学 2009-11-07 D. P. Foster , F. Seno

We propose a new procedure to monitor and forecast the onset of transitions in high dimensional complex systems. We describe our procedure by an application to the Tangled Nature model of evolutionary ecology. The quasi-stable…

适应与自组织系统 · 物理学 2014-12-31 Andrea Cairoli , Duccio Piovani , Henrik Jeldtoft Jensen

We consider a classical and superadiabatic version of an iterative quantum adiabatic algorithm to solve combinatorial optimization problems. This algorithm is deterministic because it is based on purely classical dynamics, that is, it does…

统计力学 · 物理学 2020-05-08 Takuya Hatomura

This work identifies geometric effects on dynamics due to nonadiabatic couplings in Born Oppenheimer systems and provides a systematic method for deriving corrections to mixed quantum-classical methods. Specifically, an exact path integral…

化学物理 · 物理学 2007-05-23 Vinod Krishna

We develop a unified theory for the nonadiabatic wave-packet dynamics of Bloch electrons subject to slowly varying spatial and temporal perturbations. Extending the conventional wave-packet ansatz to include interband contributions, we…

材料科学 · 物理学 2026-04-13 Yafei Ren , M. E. Sanchez Barrero

This paper deals with different ways to extract the effective two-dimensional lower level dynamics of a lambda system excited by off-resonant laser beams. We present a commonly used procedure for elimination of the upper level, and we show…

量子物理 · 物理学 2015-06-26 E. Brion , L. H. Pedersen , K. Molmer