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The effect due to the inter-subsystem coupling on the off-diagonal geometric phase in a composite system is investigated. We analyze the case where the system undergo an adiabatic evolution. Two coupled qubits driven by time-dependent…

量子物理 · 物理学 2009-11-10 X. X. Yi , J. L. Chang

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

We consider one-dimensional classical time-dependent Hamiltonian systems with quasi-periodic orbits. It is well-known that such systems possess an adiabatic invariant which coincides with the action variable of the Hamiltonian formalism. We…

经典物理 · 物理学 2007-05-23 Clive G. Wells , Stephen T. C. Siklos

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

Adiabatic variation of the parameters of a chaotic system results in a fluctuating reaction force. In the leading order in the adiabaticity parameter, a dissipative force, that is present in classical mechanics was found to vanish in…

chao-dyn · 物理学 2009-10-31 Ophir M. Auslaender , Shmuel Fishman

At present, several models for quantum computation have been proposed. Adiabatic quantum computation scheme particularly offers this possibility and is based on a slow enough time evolution of the system, where no transitions take place. In…

量子物理 · 物理学 2012-10-12 P. J. Salas Peralta

We generalise the celebrated semiclassical wavepacket approach from the adiabatic to the non-adiabatic regime. A unified description covering both of these regimes is particularly desired for systems with spatially varying band structures…

介观与纳米尺度物理 · 物理学 2020-07-29 Matisse Wei-Yuan Tu , Ci Li , Wang Yao

Quantum adiabaticity is the evolution of a quantum system that remains close to an instantaneous eigenstate of a time-dependent Hamiltonian. Using Floquet formalism, we derive a rigorous sufficient condition for adiabaticity in closed,…

量子物理 · 物理学 2026-05-12 Jie Gu , X. -G. Zhang

We consider a dynamical system subjected to weak but adiabatically slow fluctuations of external origin. Based on the ``adiabatic following'' approximation we carry out an expansion in \alpha/|\mu|, where \alpha is the strength of…

统计力学 · 物理学 2009-10-31 S. K. Banik , D. S. Ray

The statistical distribution for the case of an adiabatically isolated body was obtained in the framework of covariant quantum theory and Wick's rotation in the complex time plane. The covariant formulation of the mechanics of an isolated…

统计力学 · 物理学 2022-05-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

量子物理 · 物理学 2024-10-24 Paul Manuel Schindler , Marin Bukov

We demonstrate numerically that a robust and unusual multifractal regime can emerge in a one-dimensional quantum chain with maximally correlated disorder, above a threshold disorder strength. This regime is preceded by a mixed and an…

无序系统与神经网络 · 物理学 2022-07-27 Alexander Duthie , Sthitadhi Roy , David E. Logan

In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times $t\to \pm \infty$, the transition probabilities between adiabatic states are exponentially small. They are characterized by an…

量子物理 · 物理学 2009-10-31 Michael Wilkinson , Michael A. Morgan

Dynamics of neutral atoms in nonuniform magnetic fields, typical of quadrupole magnetic traps, is considered by applying an accurate method for solving nonlinear systems of differential equations. This method is more general than the…

原子物理 · 物理学 2009-10-30 V. I. Yukalov

Envariance is a symmetry exhibited by correlated quantum systems. Inspired by this "quantum fact of life," we propose a novel method for shortcuts to adiabaticity which enables the system to evolve through the adiabatic manifold at all…

量子物理 · 物理学 2021-11-30 Akram Touil , Sebastian Deffner

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

We revisit the adiabatic criterion in stimulated Raman adiabatic passage for the three-level $\Lambda$-system, and compare the situation with and without nonlinearity. In linear systems, the adiabatic condition is derived with the help of…

量子物理 · 物理学 2009-11-13 Han Pu , Peter Maenner , Weiping Zhang , Hong Y. Ling

The effect of inter-subsystem coupling on the adiabaticity of composite systems and that of its subsystems is investigated. Similar to the adiabatic evolution defined for pure states, non-transitional evolution for mixed states is…

量子物理 · 物理学 2016-09-08 X. X. Yi , H. T. Cui , Y. H. Lin , H. S. Song

Recent experiments have observed Cooper pair splitting in quantum dots coupled to superconductors, and efficient schemes for controlling and timing the splitting process are now called for. Here, we propose and analyze an adiabatic Cooper…

介观与纳米尺度物理 · 物理学 2024-02-09 Fredrik Brange , Riya Baruah , Christian Flindt

We introduce an adiabatic quantum state transfer scheme in a non-uniform coupled triple-quantum-dot system. By adiabatically varying the external gate voltage applied on the sender and receiver, the electron can be transferred between them…

量子物理 · 物理学 2011-01-27 Bing Chen , Wei Fan , Yan Xu