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Nonanalyticities in the Time Evolution of Unconventional Superconductors
Nonanalyticities in the Time Evolution of Unconventional Superconductors
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103114
- ISBN
- 9798315701828
- DDC
- 530
- 저자명
- Gaur, Sankalp.
- 서명/저자
- Nonanalyticities in the Time Evolution of Unconventional Superconductors
- 발행사항
- [Sl] : University of Colorado at Boulder, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 132 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
- 주기사항
- Advisor: Gurarie, Victor.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2025.
- 초록/해제
- 요약Dynamical Quantum Phase Transitions (DQPTs) are nonanalyticities in the Loschmidt echo, a quantity that characterizes the time evolution of quantum systems. These are analogous to thermal phase transitions, which are nonanalyticities in the thermal partition function. Over the past decade, DQPTs have been shown to have a close relationship with the equilibrium phases of quantum systems. DQPTs can serve as a probe of the underlying quantum critical points of a system.In this thesis, we explore how DQPTs can occur in superconductors. We analytically show that DQPTs can occur in topological superconductors but not in the topologically trivial s-wave superconductor. We extend this analysis to study the spectral form factor, which is a related quantity that tells us about the time evolution of systems. We see how the spectral form factor of unconventional superconductors can have nonanalyticities, whereas that of the s-wave superconductor is featureless. These nonanalyticities arise due to the nontrivial structure of the superconducting gap function in momentum space, which in turn result from the symmetries of the Cooper pair wavefunction and the underlying lattice. We propose a method by which the spectral form factor can be measured if the superconducting Hamiltonian is simulated using qubits realized as Anderson pseudospins.We find that the Schwinger-Keldysh mean field formalism is insufficient to evaluate these nonanalyticities in superconductors, and therefore develop a generalized mean field theory for this purpose. We present a simple model of a flat-band superconductor for which we can explicitly verify the validity of our generalized mean field theory.
- 일반주제명
- Physics
- 일반주제명
- Condensed matter physics
- 일반주제명
- Theoretical physics
- 일반주제명
- Quantum physics
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 86-11B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103114
■006m o d
■007cr#unu||||||||
■020 ▼a9798315701828
■035 ▼a(MiAaPQ)AAI31936853
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aGaur, Sankalp.▼0(orcid)0000-0003-2103-9118
■24510▼aNonanalyticities in the Time Evolution of Unconventional Superconductors
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a132 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-11, Section: B.
■500 ▼aAdvisor: Gurarie, Victor.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2025.
■520 ▼aDynamical Quantum Phase Transitions (DQPTs) are nonanalyticities in the Loschmidt echo, a quantity that characterizes the time evolution of quantum systems. These are analogous to thermal phase transitions, which are nonanalyticities in the thermal partition function. Over the past decade, DQPTs have been shown to have a close relationship with the equilibrium phases of quantum systems. DQPTs can serve as a probe of the underlying quantum critical points of a system.In this thesis, we explore how DQPTs can occur in superconductors. We analytically show that DQPTs can occur in topological superconductors but not in the topologically trivial s-wave superconductor. We extend this analysis to study the spectral form factor, which is a related quantity that tells us about the time evolution of systems. We see how the spectral form factor of unconventional superconductors can have nonanalyticities, whereas that of the s-wave superconductor is featureless. These nonanalyticities arise due to the nontrivial structure of the superconducting gap function in momentum space, which in turn result from the symmetries of the Cooper pair wavefunction and the underlying lattice. We propose a method by which the spectral form factor can be measured if the superconducting Hamiltonian is simulated using qubits realized as Anderson pseudospins.We find that the Schwinger-Keldysh mean field formalism is insufficient to evaluate these nonanalyticities in superconductors, and therefore develop a generalized mean field theory for this purpose. We present a simple model of a flat-band superconductor for which we can explicitly verify the validity of our generalized mean field theory.
■590 ▼aSchool code: 0051.
■650 4▼aPhysics
■650 4▼aCondensed matter physics
■650 4▼aTheoretical physics
■650 4▼aQuantum physics
■653 ▼aMathematical physics
■653 ▼aQuantum field theory
■653 ▼aStatistical mechanics
■653 ▼aStrongly correlated electrons
■653 ▼aSuperconductivity
■690 ▼a0605
■690 ▼a0611
■690 ▼a0753
■690 ▼a0599
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-11B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357002▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
