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In this paper we study the fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate (BEC) confined in a harmonic potential, using the theory of time-optimal control. We find that under reasonable assumptions suggested by…

Optimization and Control · Mathematics 2015-06-04 Dionisis Stefanatos , Jr-Shin Li

The accelerated optical lattice has emerged as a valuable technique for the investigation of quantum transport physics and has found widespread application in quantum sensing, including atomic gravimeters and atomic gyroscopes. In our…

Quantum Gases · Physics 2023-09-14 Guoling Yin , Lingchii Kong , Zhongcheng Yu , Jinyuan Tian , Xuzong Chen , Xiaoji Zhou

The use of a dynamic "accordion" lattice with ultracold atoms is demonstrated. Ultracold atoms of $^{87}$Rb are trapped in a two-dimensional optical lattice, and the spacing of the lattice is then increased in both directions from 2.2 to…

Quantum Gases · Physics 2010-08-13 S. Al-Assam , R. A. Williams , C. J. Foot

A reciprocating quantum refrigerator is studied with the purpose of determining the limitations of cooling to absolute zero. We find that if the energy spectrum of the working medium possesses an uncontrollable gap, then there is a minimum…

Quantum Physics · Physics 2009-09-08 Tova Feldmann , Ronnie Kosloff

We study a quantum harmonic Otto engine under a hot squeezed thermal reservoir with asymmetry between the two adiabatic branches introduced by considering different speeds of the driving protocols. In the first configuration, the driving…

Quantum Physics · Physics 2024-11-27 Monika , Kirandeep Kaur , Varinder Singh , Shishram Rebari

We investigate the performance of a quantum Otto refrigerator operating in finite time and exploiting local counterdiabatic techniques. We evaluate its coefficient of performance and cooling power when the working medium consists a quantum…

Quantum Physics · Physics 2020-05-13 Obinna Abah , Mauro Paternostro , Eric Lutz

This work explores the relationship between optimal control theory and adiabatic passage techniques in quantum systems. The study is based on a geometric analysis of the Hamiltonian dynamics constructed from the Pontryagin Maximum…

Quantum Physics · Physics 2015-06-11 E. Assémat , D. Sugny

In this article we use optimal control to maximize the efficiency of a quantum heat engine executing the Otto cycle in the presence of external noise. We optimize the engine performance for both amplitude and phase noise. In the case of…

Quantum Physics · Physics 2015-06-18 Dionisis Stefanatos

Adiabatic limit is the presumption of the adiabatic geometric quantum computation and of the adiabatic quantum algorithm. But in reality, the variation speed of the Hamiltonian is finite. Here we develop a general formulation of adiabatic…

Quantum Physics · Physics 2009-11-10 Yu Shi , Yong-Shi Wu

We investigate the efficiency of Quantum Adiabatic Optimization when overcoming potential barriers to get from a local to a global minimum. Specifically we look at n qubit systems with symmetric cost functions f:{0, 1}^n->R where the ground…

Quantum Physics · Physics 2016-09-12 Lucas T. Brady , Wim van Dam

We consider a quantum Otto refrigerator cycle of a time-dependent harmonic oscillator. We investigate the coefficient of performance at maximum figure of merit for adiabatic and nonadiabatic frequency modulations. We obtain analytical…

Quantum Physics · Physics 2017-08-01 Obinna Abah , Eric Lutz

Adiabatic quantum computation employs a slow change of a time-dependent control function (or functions) to interpolate between an initial and final Hamiltonian, which helps to keep the system in the instantaneous ground state. When the…

Quantum Physics · Physics 2014-06-26 Constantin Brif , Matthew D. Grace , Mohan Sarovar , Kevin C. Young

Optimal control is a central problem in quantum thermodynamics. When minimizing dissipated work and work fluctuations defined via the two-point measurement scheme in open quantum systems, existing approaches largely focus on the rapid- and…

Quantum Physics · Physics 2026-04-08 Yuki Kurokawa , Yoshihiko Hasegawa

Adiabatic protocols are employed across a variety of quantum technologies, from implementing state preparation and individual operations that are building blocks of larger devices, to higher-level protocols in quantum annealing and…

Quantum Physics · Physics 2023-01-31 Ieva Čepaitė , Anatoli Polkovnikov , Andrew J. Daley , Callum W. Duncan

We analyze the performance of a quantum Otto cycle, employing time-dependent harmonic oscillator as the working fluid undergoing sudden expansion and compression strokes during the adiabatic stages, coupled to a squeezed reservoir. First,…

Quantum Physics · Physics 2021-01-04 Varinder Singh , Özgür E. Müstecaplıoğlu

The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of…

Quantum Physics · Physics 2020-02-12 Bertúlio de Lima Bernardo

We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact to two or more reservoirs with a temperature bias during all the cycle. We show that the…

Quantum Physics · Physics 2022-03-29 Pablo Terren Alonso , Paolo Abiuso , Marti Perarnau-Llobet , Liliana Arrachea

Quantum adiabatic computation is a novel paradigm for the design of quantum algorithms, which is usually used to find the minimum of a classical function. In this paper, we show that if the initial hamiltonian of a quantum adiabatic…

Quantum Physics · Physics 2007-05-23 Zhaohui Wei , Mingsheng Ying

Motivated by the recent discovery that a reflecting wall moving with a square-root in time trajectory behaves as a universal stopper of classical particles regardless of their initial velocities, we compare linear in time and square-root in…

Quantum Physics · Physics 2009-12-17 Xi Chen , J. G. Muga , A. del Campo , A. Ruschhaupt

We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by…

Quantum Physics · Physics 2021-01-12 Qi Zhang , Xi Chen , David Guéry-Odelin
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