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Quasi-static protocols for systems that feature a mixed phase-space with both chaos and quasi-regular regions are beyond the standard paradigm of adiabatic processes. We focus on a many-body system of atoms that are described by the…

统计力学 · 物理学 2021-02-08 Yehoshua Winsten , Doron Cohen

Adiabatic (or reversible) processes are the key concept unifying our understanding of thermodynamics and dynamical systems. Reversibility in the thermodynamic sense is understood as entropy-preserving processes, such as in the idealized…

量子物理 · 物理学 2026-02-27 Rohan Banerjee , Shahyad Khamnei , Anatoli Polkovnikov , Stewart Morawetz

Recently probabilistic hysteresis in isolated Hamiltonian systems of ultracold atoms has been studied in the limit of large particle numbers, where a semiclassical treatment is adequate. The origin of irreversibility in these sweep…

量子物理 · 物理学 2020-05-20 Ralf Bürkle , James R. Anglin

An analytically solvable model for quasi-static transformations across quantum critical points featuring Bosonic quasi-particle excitations is presented. The model proves that adiabaticity breakdown is a general feature of universal slow…

量子物理 · 物理学 2021-08-11 Nicolò Defenu

The concept of internal friction, a fully quantum mechanical phenomena, is investigated in a simple, experimentally accessible quantum system in which a spin-1/2 is driven by a transverse magnetic field in a quantum adiabatic process. The…

量子物理 · 物理学 2016-08-30 Selcuk Cakmak , Ferdi Altintas , Ozgur E. Mustecaplioglu

The ability to accurately control a quantum system is a fundamental requirement in many areas of modern science such as quantum information processing and the coherent manipulation of molecular systems. It is usually necessary to realize…

Two approaches are outlined to characterize the fluctuation behavior of work applied to a system by a slow change of a parameter. One approach uses the adiabatic theorems of quantum and classical mechanics, the other one is based on the…

统计力学 · 物理学 2022-01-11 Juyeon Yi , Peter Talkner

The evolution of a driven quantum system is said to be adiabatic whenever the state of the system stays close to an instantaneous eigenstate of its time-dependent Hamiltonian. The celebrated quantum adiabatic theorem ensures that such pure…

量子物理 · 物理学 2021-10-04 Nikolai Il`in , Anastasia Aristova , Oleg Lychkovskiy

Usually reason of irreversibility in open quantum-mechanical system is interaction with a thermal bath, consisting form infinite number of degrees of freedom. Irreversibility in the system appears due to the averaging over all possible…

混沌动力学 · 物理学 2008-09-02 L. Chotorlishvili , A. Ugulava

Using the adiabatic perturbation theory of driven dynamics [Phys. Rev. A 78, 052508 (2008)] we design a hierarchy of quantum state preparation protocols that systematically increase the fidelity at very long driving times. We test these and…

量子物理 · 物理学 2023-02-01 Felipe Matus , Jan Střeleček , Pavel Stránský , Pavel Cejnar

Isothermal processes of a finitely extended, driven quantum system in contact with an infinite heat bath are studied from the point of view of quantum statistical mechanics. Notions like heat flux, work and entropy are defined for…

数学物理 · 物理学 2015-06-26 Walid K. Abou Salem , Juerg Froehlich

The main idea of "Quantum Chaos" studies is that Quantum Mechanics introduces two energy scales into the study of chaotic systems: One is obviously the mean level spacing $\Delta\propto\hbar^d$, where $d$ is the dimensionality; The other is…

量子物理 · 物理学 2007-05-23 Doron Cohen

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

When it comes to applying the adiabatic theorem in practice, the key question to be answered is how slow "slowly enough" is. This question can be an intricate one, especially for many-body systems, where the limits of slow driving and large…

量子气体 · 物理学 2018-04-04 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

We present a new quantum adiabatic theorem that allows one to rigorously bound the adiabatic timescale for a variety of systems, including those described by unbounded Hamiltonians. Our bound is geared towards the qubit approximation of…

量子物理 · 物理学 2024-01-17 Evgeny Mozgunov , Daniel A. Lidar

When parameters are varied periodically, charge can be pumped through a mesoscopic conductor without applied bias. Here, we consider the inverse effect in which a transport current drives a periodic variation of an adiabatic degree of…

介观与纳米尺度物理 · 物理学 2013-08-14 Raul Bustos-Marun , Gil Refael , Felix von Oppen

The unavoidable irreversible losses of power in a heat engine are found to be of quantum origin. Following thermodynamic tradition a model quantum heat engine operating by the Otto cycle is analyzed. The working medium of the model is…

量子物理 · 物理学 2009-11-13 Yair Rezek , Ronnie Kosloff

Quantum mechanics is widely regarded as a complete theory, yet we argue it is a tractable projection of a deeper, computationally-inaccessible classical variational structure. By analyzing the coupled partial differential equations of the…

综合物理 · 物理学 2026-01-26 Khaled Mnaymneh

We study the adiabatic approximation of the dynamics of a bipartite quantum system with respect to one of the components, when the coupling between its two components is perturbative. We show that the density matrix of the considered…

数学物理 · 物理学 2015-06-22 David Viennot , Lucile Aubourg

In adiabatic quantum computing the aim is to track an eigenstate as the Hamiltonian changes. In the usual setup this is achieved using the natural time-dependent Hamiltonian evolution of the system and the main technical tool is the…

量子物理 · 物理学 2026-05-29 Joseph Cunningham , Jérémie Roland
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