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Precision control of a quantum system requires accurate determination of the effective system Hamiltonian. We develop a method for estimating the Hamiltonian parameters for some unknown two-state system and providing uncertainty bounds on…

The quantum adiabatic theorem ensures that a slowly changing system, initially prepared in its ground state, will evolve to its final ground state with arbitrary precision. As a first result this thesis extends the original theorem to…

量子物理 · 物理学 2016-10-18 Friederike Anna Dziemba

Transitions in an artificial atom, driven non-adiabatically through an energy-level avoided crossing, can be controlled by carefully engineering the driving protocol. We have driven a superconducting persistent-current qubit with a…

Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic…

The necessary and sufficient conditions for the stability of adiabatic states in three-level quantum systems are investigated analytically and numerically. Various possible configurations of three-level systems under exact two-photon…

量子物理 · 物理学 2025-09-16 Emil A. Gazazyan , Gayane G. Grigoryan , Vanush Paturyan

Based on the adiabatic geometric phase concerning with density matrix[1] , we extend it to the sub-geometric phase in the non-adiabatic case. It is found that whatever the real part or imaginary part of the sub-geometric phase can play an…

量子物理 · 物理学 2024-05-20 Zheng-Chuan Wang

We introduce a class of non-Hermitian Hamiltonians that offers a dynamical approach to short-cut to adiabaticity (DASA). In particular, in our proposed 2 * 2 Hamiltonians, one eigenvalue is absolutely real and the other one is complex. This…

量子物理 · 物理学 2019-02-13 Fatemeh Mostafavi , Luqi , Yuan , Hamidreza Ramezani

The time evolution of the adiabatic piston problem and the consequences of its stochastic motion are investigated. The model is a one dimensional piston of mass $M$ separating two ideal fluids made of point particles with mass $m\ll M$. For…

凝聚态物理 · 物理学 2009-10-31 Ch. Gruber , L. Frachebourg

Adiabatic passage is a standard tool for achieving robust transfer in quantum systems. We show that, in the context of driven nonlinear Hamiltonian systems, adiabatic passage becomes highly non-robust when the target is unstable. We show…

量子物理 · 物理学 2020-11-11 Jing-Jun Zhu , Xi Chen , Hans-Rudolf Jauslin , Stéphane Guérin

Several misprints and small mistakes were in the initial version. They have been corrected. Following the recent experimental realization of synthetic gauge magnetic forces, Jean Dalibard adressed the question whether the adiabatic ansatz…

偏微分方程分析 · 数学 2012-01-24 Amandine Aftalion , Francis Nier

We consider non-adiabatic transitions in multiple dimensions, which occur when the Born-Oppenheimer approximation breaks down. We present a general, multi-dimensional algorithm which can be used to accurately and efficiently compute the…

化学物理 · 物理学 2018-04-16 V. Betz , B. D. Goddard , T. Hurst

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

统计力学 · 物理学 2013-09-09 Maurizio Fagotti

We demonstrate a method of adiabatic population transfer from a single quantum state into a coherent superposition of states. The transfer is executed with femtosecond pulses, spectrally shaped in simple and intuitive manner, which does not…

量子物理 · 物理学 2015-05-14 S. Zhdanovich , E. A. Shapiro , J. W. Hepburn , M. Shapiro , V. Milner

In a recent paper we have introduced several possible inequivalent descriptions of the dynamics and of the transition probabilities of a quantum system when its Hamiltonian is not self-adjoint. Our analysis was carried out in finite…

数学物理 · 物理学 2015-08-12 Fabio Bagarello

We examine the stability versus different types of perturbations of recently proposed shortcuts-to-adiabaticity to speed up the population inversion of a two-level quantum system. We find optimally robust processes using invariant based…

量子物理 · 物理学 2013-10-30 A. Ruschhaupt , Xi Chen , D. Alonso , J. G. Muga

We examine the stability of population transfer in two- and three-level systems against unwanted additional transitions. This population inversion is achieved by using recently proposed schemes called "shortcuts to adiabaticity". We…

量子物理 · 物理学 2017-03-14 Anthony Kiely , Andreas Ruschhaupt

We discuss a toy model for adiabatic quantum computation which displays some phenomenological properties expected in more realistic implementations. This model has two free parameters: the adiabatic evolution parameter $s$ and the $\alpha$…

量子物理 · 物理学 2009-11-13 P. Ribeiro , R. Mosseri

Quantum systems with chaotic classical counterparts cannot be treated by perturbative techniques or any kind of adiabatic approximations. This is so, in spite of the quantum suppression of classical chaos. We explicitly calculate the…

chao-dyn · 物理学 2008-02-03 G. Abal , A. J. Pereira , A. Romanelli , A. Sicardi-Schifino

We show that the definition of instantaneous eigenstate populations for a dynamical non-self-adjoint system is not obvious. The naive direct extension of the definition used for the self-adjoint case leads to inconsistencies; the resulting…

量子物理 · 物理学 2012-10-04 Arnaud Leclerc , David Viennot , Georges Jolicard

The adiabatic theorem states that if we prepare a quantum system in one of the instantaneous eigenstates then the quantum number is an adiabatic invariant and the state at a later time is equivalent to the instantaneous eigenstate at that…

量子物理 · 物理学 2007-05-23 A. K. Pati , A. K. Rajagopal