Measurement-Induced Quantum Phase Transitions- [electronic resource]
Measurement-Induced Quantum Phase Transitions- [electronic resource]
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101234
- ISBN
- 9798379912888
- DDC
- 530.1
- 저자명
- Merritt, Joseph.
- 서명/저자
- Measurement-Induced Quantum Phase Transitions - [electronic resource]
- 발행사항
- [S.l.]: : University of Washington., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(111 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-01, Section: B.
- 주기사항
- Advisor: Fidkowski, Lukasz.
- 학위논문주기
- Thesis (Ph.D.)--University of Washington, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약There has been a recent increase in interest towards a nonequilibrium phenomenon called the measurement-induced quantum phase. These phases occur in "hybrid" systems where unitary evolution is interspersed with projective measurements. We look at two such systems. First we investigate a bosonic system of qudits. This is a one-dimensional chain with a d-dimensional local Hilbert space at each site. We forward a generalization of the stabilizer formalism to simulate hybrid dynamics on the system for certain prime numbers d and find evidence of both a measurement-induced entanglement transition and a measurement-induced purification transition. We find critical exponents ν ≈ 1.3 for all studied cases, consistent with known results for d = 2. We then investigate a fermionic system. Viewing the system as populated with Majorana fermions, we show a connection to a previously studied statistical mechanics model. We then generalize this model by leveraging the Gaussian state formalism. We simulate the hybrid dynamics of this generalized system under free fermion unitary evolution and measurement of local occupation number. We find evidence of a measurement-induced purification transition, and find the corresponding phase diagram. These models advance what is known about these classes of models and demonstrate the robustness of their corresponding measurement-induced quantum phases.
- 일반주제명
- Quantum physics.
- 일반주제명
- Physics.
- 키워드
- Purification
- 키워드
- Quantum phases
- 기타저자
- University of Washington Physics
- 기본자료저록
- Dissertations Abstracts International. 85-01B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.