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The objective of this work is to study time-minimum and energy-minimum global optimal control for dissipative open quantum systems whose dynamics is governed by the Lindblad equation. The controls appear only in the Hamiltonian. Using…

Optimization and Control · Mathematics 2017-03-16 William Clark , Anthony Bloch , Leonardo Colombo , Patrick Rooney

An elementary excitation in an aggregate of coupled particles generates a collective excited state. We show that the dynamics of these excitations can be controlled by applying a transient external potential which modifies the phase of the…

Quantum Physics · Physics 2013-06-14 Ping Xiang , Marina Litinskaya , Evgeny A. Shapiro , Roman V. Krems

The purpose of this work is to understand the effect of an external environment on the adiabatic dynamics of a quantum critical system. By means of scaling arguments we derive a general expression for the density of excitations produced in…

Statistical Mechanics · Physics 2009-11-13 Dario Patanè , Alessandro Silva , Luigi Amico , Rosario Fazio , Giuseppe E. Santoro

Implementing fast and high-fidelity quantum operations using open-loop quantum optimal control relies on having an accurate model of the quantum dynamics. Any deviations between this model and the complete dynamics of the device, such as…

Quantum Physics · Physics 2024-10-31 Elie Genois , Noah J. Stevenson , Noah Goss , Irfan Siddiqi , Alexandre Blais

We study the adiabatic approximation of the dynamics of a bipartite quantum system with respect to one of the components, when the coupling between its two components is perturbative. We show that the density matrix of the considered…

Mathematical Physics · Physics 2015-06-22 David Viennot , Lucile Aubourg

This paper explores the utility of instantaneous and continuous observations in the optimal control of quantum dynamics. Simulations of the processes are performed on several multilevel quantum systems with the goal of population transfer.…

Quantum Physics · Physics 2007-06-13 Feng Shuang , Alexander Pechen , Tak-San Ho , Herschel Rabitz

This thesis is devoted to the study of physical systems embedded within the field of non-equilibrium statistical mechanics. Specifically, the state of the systems of interest constitutes a stochastic process that can be externally driven by…

Statistical Mechanics · Physics 2025-11-13 Antonio Patrón Castro

Currents through quantum systems may probe non-analyticities in quantum-critical many-body ground states. For a large class of dissipative quantum critical systems we show that it is possible to obtain the reduced system dynamics in the…

Statistical Mechanics · Physics 2020-05-19 C. W. Wächtler , G. Schaller

Open-system quantum dynamics described by non-Hermitian effective Hamiltonians have become a subject of considerable interest. Studies of non-Hermitian physics have revealed general principles, including relationships between the topology…

Quantum Physics · Physics 2023-02-17 Philippe Lewalle , K. Birgitta Whaley

We present a class of tractable non-equilibrium dynamical quantum systems which includes combinations of injection, detection and extraction of particles interspersed by unitary evolution. We show how such operations generate a hierarchy of…

Quantum Physics · Physics 2019-02-26 Israel Klich

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

Statistical Mechanics · Physics 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

In order to unitarily evolve a quantum system, an agent requires knowledge of time, a parameter which no physical clock can ever perfectly characterise. In this letter, we study how limitations on acquiring knowledge of time impact…

Quantum Physics · Physics 2023-10-24 Jake Xuereb , Florian Meier , Paul Erker , Mark T. Mitchison , Marcus Huber

In this article, we briefly review dynamical and thermodynamical aspects of different forms of quantum motors and quantum pumps. We then extend previous results to provide new theoretical tools for a systematic study of those phenomena at…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Raúl A. Bustos-Marún , Hernan L. Calvo

Quantum dynamics of driven open systems should be compatible with both quantum mechanic and thermodynamic principles. By formulating the thermodynamic principles in terms of a set of postulates we obtain a thermodynamically consistent…

Quantum Physics · Physics 2021-12-01 Roie Dann , Ronnie Kosloff

A non-relativistic system such as an ultracold trapped ion may perform a quantum simulation of a Dirac equation dynamics under specific conditions. The resulting Hamiltonian and dynamics are highly controllable, but the coupling between…

Quantum Physics · Physics 2017-02-24 Xue-Ke Song , Fu-Guo Deng , Lucas Lamata , J. G. Muga

In this thesis, it is presented a set of results in adiabatic dynamics (closed and open system) and transitionless quantum driving that promote some advances in our understanding on quantum control and Hamiltonian inverse engineering. In…

Quantum Physics · Physics 2021-07-27 Alan C. Santos

The ability to characterise a Hamiltonian with high precision is crucial for the implementation of quantum technologies. In addition to the well-developed approaches utilising optimal probe states and optimal measurements, the method of…

Quantum Physics · Physics 2022-12-14 Shushen Qin , Marcus Cramer , Christiane P. Koch , Alessio Serafini

We study optimal control strategies to optimize the relaxation rate towards the fixed point of a quantum system in the presence of a non-Markovian dissipative bath. Contrary to naive expectations that suggest that memory effects might be…

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