Sensitivity to perturbations and quantum phase transitions
The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities in a paradigmatic many body system, the Dicke Hamiltonian, where a single-mode b...
| Autores principales: | , |
|---|---|
| Publicado: |
2013
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v87_n5_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v87_n5_p_Wisniacki |
| Aporte de: |
| id |
paper:paper_15393755_v87_n5_p_Wisniacki |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_15393755_v87_n5_p_Wisniacki2023-06-08T16:20:58Z Sensitivity to perturbations and quantum phase transitions Wisniacki, Diego A. Roncaglia, Augusto José Bosonic fields Fidelity amplitude Local density of state Many-body systems Quantum phase transitions Rapid communication Thermodynamic limits Two-level atom Hamiltonians Phase transitions Quantum theory chemical model chemical structure computer simulation phase transition quantum theory Computer Simulation Models, Chemical Models, Molecular Phase Transition Quantum Theory The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities in a paradigmatic many body system, the Dicke Hamiltonian, where a single-mode bosonic field interacts with an ensemble of N two-level atoms. This model exhibits a quantum phase transition in the thermodynamic limit, while for finite instances the system undergoes a transition from quasi-integrability to quantum chaotic. We show that the width of the local density of states clearly points out the imprints of the transition from integrability to chaos but no trace remains of the quantum phase transition. The connection with the decay of the fidelity amplitude is also established. © 2013 American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Roncaglia, A.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v87_n5_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v87_n5_p_Wisniacki |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Bosonic fields Fidelity amplitude Local density of state Many-body systems Quantum phase transitions Rapid communication Thermodynamic limits Two-level atom Hamiltonians Phase transitions Quantum theory chemical model chemical structure computer simulation phase transition quantum theory Computer Simulation Models, Chemical Models, Molecular Phase Transition Quantum Theory |
| spellingShingle |
Bosonic fields Fidelity amplitude Local density of state Many-body systems Quantum phase transitions Rapid communication Thermodynamic limits Two-level atom Hamiltonians Phase transitions Quantum theory chemical model chemical structure computer simulation phase transition quantum theory Computer Simulation Models, Chemical Models, Molecular Phase Transition Quantum Theory Wisniacki, Diego A. Roncaglia, Augusto José Sensitivity to perturbations and quantum phase transitions |
| topic_facet |
Bosonic fields Fidelity amplitude Local density of state Many-body systems Quantum phase transitions Rapid communication Thermodynamic limits Two-level atom Hamiltonians Phase transitions Quantum theory chemical model chemical structure computer simulation phase transition quantum theory Computer Simulation Models, Chemical Models, Molecular Phase Transition Quantum Theory |
| description |
The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities in a paradigmatic many body system, the Dicke Hamiltonian, where a single-mode bosonic field interacts with an ensemble of N two-level atoms. This model exhibits a quantum phase transition in the thermodynamic limit, while for finite instances the system undergoes a transition from quasi-integrability to quantum chaotic. We show that the width of the local density of states clearly points out the imprints of the transition from integrability to chaos but no trace remains of the quantum phase transition. The connection with the decay of the fidelity amplitude is also established. © 2013 American Physical Society. |
| author |
Wisniacki, Diego A. Roncaglia, Augusto José |
| author_facet |
Wisniacki, Diego A. Roncaglia, Augusto José |
| author_sort |
Wisniacki, Diego A. |
| title |
Sensitivity to perturbations and quantum phase transitions |
| title_short |
Sensitivity to perturbations and quantum phase transitions |
| title_full |
Sensitivity to perturbations and quantum phase transitions |
| title_fullStr |
Sensitivity to perturbations and quantum phase transitions |
| title_full_unstemmed |
Sensitivity to perturbations and quantum phase transitions |
| title_sort |
sensitivity to perturbations and quantum phase transitions |
| publishDate |
2013 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v87_n5_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v87_n5_p_Wisniacki |
| work_keys_str_mv |
AT wisniackidiegoa sensitivitytoperturbationsandquantumphasetransitions AT roncagliaaugustojose sensitivitytoperturbationsandquantumphasetransitions |
| _version_ |
1768542567729725440 |