Quantum dynamics and phase transitions in low-dimensional systems
Low-dimensional systems have attracted a main interest in current condensed matter physics due to novel quantum phenomena arising from their characteristic confinement. In this work we will review the quantum dynamics of two reduced dimensional systems: a zero-dimensional quantum dot under a Landau-...
- Autores:
-
Higuera Quintero, Santiago
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2023
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/68998
- Acceso en línea:
- http://hdl.handle.net/1992/68998
- Palabra clave:
- Quantum phase transitions
Low-dimensional systems
Condensed matter physics
Quantum computing
Física
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
| Summary: | Low-dimensional systems have attracted a main interest in current condensed matter physics due to novel quantum phenomena arising from their characteristic confinement. In this work we will review the quantum dynamics of two reduced dimensional systems: a zero-dimensional quantum dot under a Landau-Zener (LZ) Hamiltonian and the Wannier-Stark (WS) model of a one-dimensional chain. The purpose of this work will be to probe equilibrium quantum phase transitions through non-equilibrium dynamical processes. For the first system, the connection between the LZ dynamics and Kibble-Zurek mechanism (KZM) for continuous phase transitions is presented. In addition, experimental quantum simulations on digital quantum computers are shown that validate the link. Then, the equilibrium quantum phases of the WS model are characterized and a study of the Loschmidt echo is presented through numerical simulations of sudden quenches. |
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