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We study quantum feedback cooling of atomic motion in an optical cavity as a prototypical nonlinear quantum control problem. We design a feedback algorithm that can cool the atom to the ground state of the optical potential with high…

Quantum Physics · Physics 2007-05-23 Daniel A. Steck , Kurt Jacobs , Hideo Mabuchi , Tanmoy Bhattacharya , Salman Habib

We investigate the limitations that emerge in thermodynamic tasks as a result of having local control only over the components of a thermal machine. These limitations are particularly relevant for devices composed of interacting many-body…

Quantum Physics · Physics 2018-03-07 J. Lekscha , H. Wilming , J. Eisert , R. Gallego

We demonstrate that a quantum absorption refrigerator can be realized from the smallest quantum system, a qubit, by coupling it in a non-additive (strong) manner to three heat baths. This function is un-attainable for the qubit model under…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Anqi Mu , Bijay Kumar Agarwalla , Gernot Schaller , Dvira Segal

An increasingly large variety of molecular species are being cooled down to low energies in recent years, and innovative ideas and powerful techniques continue to emerge to gain ever more precise control of molecular motion. In this brief…

Quantum Gases · Physics 2024-05-24 Tim Langen , Giacomo Valtolina , Dajun Wang , Jun Ye

Preparing a quantum system in a pure state is ultimately limited by the nature of the system's evolution in the presence of its environment and by the initial state of the environment itself. We show that, when the system and environment…

Quantum Physics · Physics 2015-01-05 Francesco Ticozzi , Lorenza Viola

Control of open quantum systems is an essential ingredient to the realization of contemporary quantum science and technology. We demonstrate such control by employing a thermodynamically consistent framework, taking into account the fact…

Quantum Physics · Physics 2022-05-13 Shimshon Kallush , Roie Dann , Ronnie Kosloff

This paper provides rigorous definitions and analysis of the dynamics of weakly-coupled systems and gives sufficient conditions for an infinite dimensional quantum control system to be weakly-coupled. As an illustration we provide examples…

Analysis of PDEs · Mathematics 2013-04-02 Nabile Boussaid , Marco Caponigro , Thomas Chambrion

We study the problem of dynamic cooling whereby a target qubit is cooled at the expense of heating up $N-1$ further identical qubits, by means of a global unitary operation. A standard back-of-the-envelope high temperature estimate…

Quantum Physics · Physics 2024-09-26 Lindsay Bassman Oftelie , Antonella De Pasquale , Michele Campisi

The extension of thermodynamics into the quantum regime has received much attention in recent years. A primary objective of current research is to find thermodynamic tasks which can be enhanced by quantum mechanical effects. With this goal…

Quantum Physics · Physics 2015-12-10 Mark T. Mitchison , Mischa P. Woods , Javier Prior , Marcus Huber

One of the most fundamental problems in optomechanical cooling is how small the thermal phonon number of a mechanical oscillator can be achieved under the radiation pressure of a proper cavity field. Different from previous theoretical…

Quantum Physics · Physics 2017-06-12 Bing He , Liu Yang , Qing Lin , Min Xiao

We consider continuously monitored quantum systems and introduce definitions of work and heat along individual quantum trajectories that are valid for coherent superpositions of energy eigenstates. We use these quantities to extend the…

Quantum Physics · Physics 2016-03-22 Jose Joaquin Alonso , Eric Lutz , Alessandro Romito

Optimal control theory is a promising candidate for a drastic improvement of the performance of quantum information tasks. We explore its ultimate limit in paradigmatic cases, and demonstrate that it coincides with the maximum speed limit…

The cooling effects of a quantum LC circuit coupled inductively with an ensemble of artificial qubits are investigated. The particles may decay independently or collectively through their interaction with the environmental vacuum…

Quantum Physics · Physics 2015-05-18 Mihai A. Macovei

The laws of thermodynamics are usually formulated under the assumption of infinitely large environments. While this idealization facilitates theoretical treatments, real physical systems are always finite and their interaction range is…

Quantum Physics · Physics 2021-09-22 Ivan Henao , Raam Uzdin

We study the fundamental limitations of cooling to absolute zero for a qubit, interacting with a single mode of the electromagnetic field. Our results show that the dynamical Casimir effect, which is unavoidable in any finite-time…

Quantum Physics · Physics 2015-02-19 G. Benenti , G. Strini

We propose a quantum information based scheme to reduce the temperature of quantum many-body systems, and access regimes beyond the current capability of conventional cooling techniques. We show that collective measurements on multiple…

We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of few-body observables derived from the system-bath…

Quantum Physics · Physics 2024-08-20 N. Il'in , A. Aristova , O. Lychkovskiy

In this article we study the frictionless cooling of atoms trapped in a harmonic potential, while minimizing the transient energy of the system. We show that in the case of unbounded control, this goal is achieved by a singular control,…

Optimization and Control · Mathematics 2014-01-17 Dionisis Stefanatos , Jr-Shin Li

Controlled quantum mechanical devices provide a means of simulating more complex quantum systems exponentially faster than classical computers. Such "quantum simulators" rely heavily upon being able to prepare the ground state of…

Quantum Physics · Physics 2012-08-01 Dvir Kafri , Jacob M. Taylor

We demonstrate the possiblity to cool nanoelectronic systems in nonequilibrium situations by increasing the temperature of the environment. Such cooling by heating is possible for a variety of experimental conditions where the relevant…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 R. Härtle , C. Schinabeck , M. Kulkarni , D. Gelbwaser-Klimovsky , M. Thoss , U. Peskin