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Quantum adiabatic evolutions find a broad range of applications in quantum physics and quantum technologies. The traditional form of the quantum adiabatic theorem limits the speed of adiabatic evolution by the minimum energy gaps of the…

We analyse the near-adiabatic dynamics in a ramp through the critical point (CP) of the classical transverse field Ising chain. This is motivated, conceptually, by the fact that this CP -- unlike its quantum counterpart -- experiences no…

统计力学 · 物理学 2023-09-12 B. Dóra , R. Moessner

Shortcuts to adiabaticity provide a general approach to mimic adiabatic quantum processes via arbitrarily fast evolutions in Hilbert space. For these counter-diabatic evolutions, higher speed comes at higher energy cost. Here, the…

量子物理 · 物理学 2017-12-19 Alan C. Santos , Marcelo S. Sarandy

Far-off-resonant pulsed laser fields produce negligible excitation between two atomic states but may induce considerable phase shifts. The acquired phases are usually calculated by using the adiabatic-elimination approximation. We analyze…

量子物理 · 物理学 2009-11-26 Boyan T. Torosov , Nikolay V. Vitanov

We study non--adiabatic transitions in scattering theory for the time dependent molecular Schroedinger equation in the Born--Oppenheimer limit. We assume the electron Hamiltonian has finitely many levels and consider the propagation of…

数学物理 · 物理学 2009-11-10 G. A. Hagedorn , A. Joye

Phase transitions in dissipative quantum systems are intriguing because they are induced by the interplay between coherent quantum and incoherent classical fluctuations. Here, we investigate the crossover from a quantum to a classical…

统计力学 · 物理学 2021-03-18 Minjae Jo , Jongshin Lee , K. Choi , B. Kahng

Adiabatic processes are important for studying the dynamics of a time-dependent system. Conventionally, the adiabatic processes can only be achieved by varying the system slowly. We speed up both classical and quantum adiabatic processes by…

量子物理 · 物理学 2013-05-21 Jia-wen Deng , Qing-hai Wang , Jiangbin Gong

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

统计力学 · 物理学 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

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

We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant…

强关联电子 · 物理学 2026-05-28 Jan Alexander Koziol

Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important…

Coupling a quantum many-body system to a cavity can create bifurcation points in its phase diagram, where the ground state makes sudden switchings between different phases. Here we study the dynamical quantum phase transition of a…

量子物理 · 物理学 2016-05-10 Lin Tian

Geometric phases, which accompany the evolution of a quantum system and depend only on its trajectory in state space, are commonly studied in two-level systems. Here, however, we study the adiabatic geometric phase in a weakly anharmonic…

量子物理 · 物理学 2012-06-08 S. Berger , M. Pechal , S. Pugnetti , A. A. Abdumalikov , L. Steffen , A. Fedorov , A. Wallraff , S. Filipp

An adiabatic method for a single-shot non-demolition measurement of the phase qubit is suggested. The qubit is inductively coupled to a low-frequency resonator, which in turn is connected with a classical measurement device (phase meter).…

量子物理 · 物理学 2011-09-26 G. P. Berman , A. A. Chumak , D. I. Kamenev , D. Kinion , V. I. Tsifrinovich

We study the process of nonlinear stimulated Raman adiabatic passage within a classical mean-fieldframework. Depending on the sign of interaction, the breakdown of adiabaticity in the interactingnonintegrable system is not related to…

量子气体 · 物理学 2019-01-02 Amit Dey , Doron Cohen , Amichay Vardi

In this paper, we analyze the adiabatic crossing of a resonance for Hamiltonian systems when a double-resonance condition is satisfied by the linear frequency at an elliptic fixed point. We discuss in detail the phase-space structure on a…

动力系统 · 数学 2024-02-29 A. Bazzani , F. Capoani , M. Giovannozzi

We treat quantum back-reaction in time dependent processes for quantum field theory in various simplified models. The first example is a harmonic oscillator whose frequency depends on a second quantum variable $x$. Beginning with a…

高能物理 - 理论 · 物理学 2011-02-08 Curtis T. Asplund , David Berenstein

We show that a simple approximation based on concepts underlying the Kibble-Zurek theory of second order phase transition dynamics can be used to treat avoided level crossing problems. The approach discussed in this paper provides an…

其他凝聚态物理 · 物理学 2009-11-11 Bogdan Damski , Wojciech H. Zurek

We analyze the quantum-classical crossover in the vicinity of the continuous quantum critical point (QCP) of a Boson system. The analysis is based on the Keldysh approach for the description of of the non-equilibrium quantum dynamics. The…

统计力学 · 物理学 2014-12-01 Mikhail Vasin , Valentin Ryzhov

We explore the evolution of a strongly interacting dissipative quantum Ising spin chain that is driven by a slowly varying time-dependent transverse field. This system possesses an extensive number of instantaneous (adiabatic) stationary…

量子物理 · 物理学 2025-09-16 Paulo J. Paulino , Stefan Teufel , Federico Carollo , Igor Lesanovsky
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