Continuous unitary transformations in two-level boson systems
Two-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with O(2L + 1) symmetry for large number of bosons is worked out. Analytical results beyond the simple mean-field treatment are...
| Autores: | ; ; ; ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad de Huelva (UHU) |
| Repositorio: | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:ariasmontano.uhu.es:10272/5500 |
| Acceso en línea: | http://hdl.handle.net/10272/5500 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Quantum phase transitions Interacting Boson Model |
| _version_ | 1878741480196014080 |
|---|---|
| author | Dusuel, Sébastien |
| author2 | Vidal, Julien Arias Carrasco, José Miguel Dukelsky, J. García Ramos, José Enrique |
| author2_role | author author author author |
| author_browse | Arias Carrasco, José Miguel Dukelsky, J. Dusuel, Sébastien García Ramos, José Enrique Vidal, Julien |
| author_facet | Dusuel, Sébastien Vidal, Julien Arias Carrasco, José Miguel Dukelsky, J. García Ramos, José Enrique |
| author_role | author |
| collection | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| description | Two-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with O(2L + 1) symmetry for large number of bosons is worked out. Analytical results beyond the simple mean-field treatment are deduced by using the continuous unitary transformations technique. In this scheme, a 1/N expansion for different observables is proposed and allows one to compute the finite-size scaling exponents at the critical point. Analytical and numerical results are compared and reveal the power of the present approach to compute the finite-size corrections in such a context. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_e5ec68b71b8ff6fbaea014b922ac5993 |
| institution | Universidad de Huelva (UHU) |
| instname_str | Universidad de Huelva (UHU) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ariasmontano.uhu.es:10272/5500 |
| publishDate | 2005 |
| publishDateSort | 2005 |
| publisher | American Physical Society |
| publisherStr | American Physical Society |
| reponame_str | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| spelling | Continuous unitary transformations in two-level boson systems Dusuel, Sébastien Vidal, Julien Arias Carrasco, José Miguel Dukelsky, J. García Ramos, José Enrique Quantum phase transitions Interacting Boson Model Two-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with O(2L + 1) symmetry for large number of bosons is worked out. Analytical results beyond the simple mean-field treatment are deduced by using the continuous unitary transformations technique. In this scheme, a 1/N expansion for different observables is proposed and allows one to compute the finite-size scaling exponents at the critical point. Analytical and numerical results are compared and reveal the power of the present approach to compute the finite-size corrections in such a context. American Physical Society http://hdl.handle.net/10272/5500 |
| spellingShingle | Continuous unitary transformations in two-level boson systems Dusuel, Sébastien Quantum phase transitions Interacting Boson Model |
| title | Continuous unitary transformations in two-level boson systems |
| title_full | Continuous unitary transformations in two-level boson systems |
| title_fullStr | Continuous unitary transformations in two-level boson systems |
| title_full_unstemmed | Continuous unitary transformations in two-level boson systems |
| title_short | Continuous unitary transformations in two-level boson systems |
| title_sort | Continuous unitary transformations in two-level boson systems |
| topic | Quantum phase transitions Interacting Boson Model |
| topic_facet | Quantum phase transitions Interacting Boson Model |
| url | http://hdl.handle.net/10272/5500 |