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Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

Part of the Springer Theses Book Series

DOI: 10.1007/978-981-15-2580-3

ISBN: 978-981-15-2579-7

Publisher: Springer Singapore - Springer Journals

Jan 7, 2020

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Chapter 1Motivation and Outline

Ashida, Yuto

Pages: 1 –12

[We review the background of the results presented in this thesis, which studies the fundamental aspects of many-body physics in quantum systems open to an external world. Firstly, we review recent remarkable experimental developments of observing and manipulating quantum matter at the...
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Chapter 2Continuous Observation of Quantum Systems

Ashida, Yuto

Pages: 13 –28

[We review a general theory to describe the nonunitary evolution of quantum systems under measurement, which is the main subject of the first part of this Thesis. Quantum measurement theory provides us with a theoretical framework to discuss how a quantum system exhibits an unavoidable change due...
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Chapter 3Quantum Critical Phenomena

Ashida, Yuto

Pages: 29 –85

[Quantum critical phenomena originate from collective behavior of strongly correlated particles and lie at the heart of universal low-energy properties in many-body systems. The strong correlation between quantum particles is particularly prominent in a low-dimensional system. In the first part...
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Chapter 4Out-of-Equilibrium Quantum Dynamics

Ashida, Yuto

Pages: 87 –143

[We present three general frameworks to describe the dynamics of quantum many-particle systems under continuous observation. In Sect. 4.1, we formulate the dynamics conditioned on the number of quantum jump events, which we term as the full-counting dynamics. We apply it to an exactly solvable...
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Chapter 5Quantum Spin in an Environment

Ashida, Yuto

Pages: 145 –203

[A quantum system that strongly correlates with an external world is ubiquitous in nature. There, one has to deal with the strong entanglement between the system and the environment. Ideally, this can be achieved by explicitly taking into account all the degrees of freedom of the environment...
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Chapter 6Quantum Particle in a Magnetic Environment

Ashida, Yuto

Pages: 205 –224

[In this Chapter, we study yet another fundamental paradigm of a quantum impurity, a mobile spinless particle interacting with a many-particle environment. The ultimate building block of such a system is the formation of a polarization cloud of collective excitations around an impurity, which is...
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Chapter 7Conclusions and Outlook

Ashida, Yuto

Pages: 225 –226

[We provide summary and outlooks of the studies presented in this thesis. The first part of this thesis deals with the influence from an external observer on quantum many-body phenomena. We discuss several intriguing open questions such as possible thermalization of integrable or many-body...

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