Colloquium: Non-Markovian dynamics in open quantum systems
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In this paper, a suite of developing theoretical tools is reviewed, with which recent progress on this problem has been based, and a more refined, non-Markovian, treatment is necessary.Abstract:
An ongoing theme in quantum physics is the interaction of small quantum systems with an environment. If that environment has many degrees of freedom and is weakly coupled, it can often be reasonable to treat its decohering effect on the small system using a ``memoryless,'' or Markovian description. This Colloquium shows that for many phenomena a more refined, non-Markovian, treatment is necessary. The suite of developing theoretical tools is reviewed, with which recent progress on this problem has been based.read more
Citations
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Stochastic Processes in Physics and Chemistry
TL;DR: Van Kampen as mentioned in this paper provides an extensive graduate-level introduction which is clear, cautious, interesting and readable, and could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes.
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Bose-Einstein condensation
TL;DR: When a gas of bosonic particles is cooled below a critical temperature, it condenses into a Bose-Einstein condensate as mentioned in this paper, which is the state of the art.
Journal ArticleDOI
Topological phases of non-Hermitian systems
Zongping Gong,Yuto Ashida,Kohei Kawabata,Kazuaki Takasan,Sho Higashikawa,Masahito Ueda,Masahito Ueda +6 more
TL;DR: In this article, a coherent framework of topological phases of non-Hermitian Hamiltonians was developed, and the K-theory was applied to systematically classify all the topology phases in the Altland-Zirnbauer classes in all dimensions.
Journal ArticleDOI
Topological Phases of Non-Hermitian Systems
Zongping Gong,Yuto Ashida,Kohei Kawabata,Kazuaki Takasan,Sho Higashikawa,Masahito Ueda,Masahito Ueda +6 more
TL;DR: In this paper, a coherent framework of topological phases of non-Hermitian Hamiltonians was developed, and the K-theory was applied to systematically classify all the topology phases in the Altland-Zirnbauer classes in all dimensions.
Journal ArticleDOI
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Sebastian Deffner,Steve Campbell +1 more
TL;DR: In this paper, Paczynska et al. presented a visual representation of Einstein's gedanken experiment, Fig. 4, which was supported by the U.S National Science Foundation under Grant No. CHE-1648973.
References
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Book
Quantum Computation and Quantum Information
TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Book
Stochastic processes in physics and chemistry
TL;DR: In this article, the authors introduce the Fokker-planck equation, the Langevin approach, and the diffusion type of the master equation, as well as the statistics of jump events.
Stochastic Processes in Physics and Chemistry
Abstract: Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master equation. VI. One-step processes. VII. Chemical reactions. VIII. The Fokker-Planck equation. IX. The Langevin approach. X. The expansion of the master equation. XI. The diffusion type. XII. First-passage problems. XIII. Unstable systems. XIV. Fluctuations in continuous systems. XV. The statistics of jump events. XVI. Stochastic differential equations. XVII. Stochastic behavior of quantum systems.