자료유형  

 학위논문

Control Number  

0016933284

International Standard Book Number  

9798380158282

Dewey Decimal Classification Number  

530

Main Entry-Personal Name  

Iniguez, Fernando.

Publication, Distribution, etc. (Imprint  

[S.l.] : University of California, Santa Barbara., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(107 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 85-02, Section: B.

General Note  

Advisor: Srednicki, Mark.

Dissertation Note  

Thesis (Ph.D.)--University of California, Santa Barbara, 2023.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약The eigenstate thermalization hypothesis (ETH) has been widely accepted as the mechanism by which isolated non-integrable quantum systems thermalize and has cemented itself as a cornerstone of quantum many-body physics. With advancements in technology enabling the creation of such systems, further exploration and theoretical development of ETH are necessary.First, we expand ETH to the regime of isolated non-integrable quantum systems with non- Abelian conserved charges. We show that our extension, the non-Abelian eigenstate thermalization hypothesis, indeed predicts thermal expectation values of local observables, filling a crucial gap toward a more general framework.We further investigate ETH's validity by examining the structure of observable matrix elements in the energy eigenstate basis. ETH-predicted matrix elements cannot be completely random and independent due to unrealistic consequences such as nonsensical results for the n-point correlation function of an observable. Nevertheless, assuming ETH, we discover a centered Jacobi ensemble distribution for the eigenvalue spectrum of a truncated observable operator in the energy basis. This analytical solution, converging to the Wigner semi-circle for small truncations, reinforces the intuitive notion that ETH applies within a limited energy window. Additionally, it serves as a benchmark for comparing numerical results, enabling the study of the correlations between energy eigenstates of a system.Next, we delve into a critical inquiry: how can we differentiate between an energy eigenstate conforming to ETH and a genuinely thermal density matrix? Quantum Fisher information (QFI) offers a theoretical tool that distinguishes between these two states. However, the choice of state preparation protocol significantly influences QFI. To address this, we systematically examine the resulting QFI for both an energy eigenstate and a thermal density matrix across diverse experimental protocols.Lastly, we explore entanglement negativity in the context of chaotic eigenstates. We study phase transitions in a simplified model of entanglement negativity to facilitate analytical tractability. This allows us to establish conditions on the volume fractions for a tripartite system where predictions for the entanglement negativity based on ETH align or deviate from thermal predictions.

Subject Added Entry-Topical Term  

Condensed matter physics.

Subject Added Entry-Topical Term  

Quantum physics.

Subject Added Entry-Topical Term  

Statistical physics.

Index Term-Uncontrolled  

Eigenstate thermalization

Index Term-Uncontrolled  

Quantum chaos

Index Term-Uncontrolled  

Quantum information

Index Term-Uncontrolled  

Quantum statistical mechanics

Index Term-Uncontrolled  

Statistical mechanics

Added Entry-Corporate Name  

University of California, Santa Barbara Physics

Host Item Entry  

Dissertations Abstracts International. 85-02B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:642307