Mapping a dissipative quantum spin chain onto a generalized Coulomb gas
An XXZ spin chain at zero magnetization is subject to spatially correlated baths acting as dissipation. We show that the low-energy excitations of this model are described by a dissipative sine-Gordon field theory, i.e. a sine-Gordon action with an additional long-range interaction emerging from dis...
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2024-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.17.5.130 |
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| author | Oscar Bouverot-Dupuis |
| author_facet | Oscar Bouverot-Dupuis |
| author_sort | Oscar Bouverot-Dupuis |
| collection | DOAJ |
| description | An XXZ spin chain at zero magnetization is subject to spatially correlated baths acting as dissipation. We show that the low-energy excitations of this model are described by a dissipative sine-Gordon field theory, i.e. a sine-Gordon action with an additional long-range interaction emerging from dissipation. The field theory is then exactly mapped onto a generalized Coulomb gas which, in addition to the usual integer charges, displays half-integer charges that originate from the dissipative baths. These new charges come in pairs linked by a charge independent logarithmic interaction. In the Coulomb gas picture, we identify a Berezinsky–Kosterlitz–Thouless-like phase transition corresponding to the binding of charges and derive the associated perturbative renormalization group equations. For superohmic baths, the transition is due to the binding of the integer charges, while for subohmic baths, it is due to the binding of the half-integer charges, thereby signaling a dissipation-induced transition. |
| format | Article |
| id | doaj-art-707a11ed69094821895ea9a9dd72938e |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SciPost |
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| series | SciPost Physics |
| spelling | doaj-art-707a11ed69094821895ea9a9dd72938e2024-11-11T12:44:47ZengSciPostSciPost Physics2542-46532024-11-0117513010.21468/SciPostPhys.17.5.130Mapping a dissipative quantum spin chain onto a generalized Coulomb gasOscar Bouverot-DupuisAn XXZ spin chain at zero magnetization is subject to spatially correlated baths acting as dissipation. We show that the low-energy excitations of this model are described by a dissipative sine-Gordon field theory, i.e. a sine-Gordon action with an additional long-range interaction emerging from dissipation. The field theory is then exactly mapped onto a generalized Coulomb gas which, in addition to the usual integer charges, displays half-integer charges that originate from the dissipative baths. These new charges come in pairs linked by a charge independent logarithmic interaction. In the Coulomb gas picture, we identify a Berezinsky–Kosterlitz–Thouless-like phase transition corresponding to the binding of charges and derive the associated perturbative renormalization group equations. For superohmic baths, the transition is due to the binding of the integer charges, while for subohmic baths, it is due to the binding of the half-integer charges, thereby signaling a dissipation-induced transition.https://scipost.org/SciPostPhys.17.5.130 |
| spellingShingle | Oscar Bouverot-Dupuis Mapping a dissipative quantum spin chain onto a generalized Coulomb gas SciPost Physics |
| title | Mapping a dissipative quantum spin chain onto a generalized Coulomb gas |
| title_full | Mapping a dissipative quantum spin chain onto a generalized Coulomb gas |
| title_fullStr | Mapping a dissipative quantum spin chain onto a generalized Coulomb gas |
| title_full_unstemmed | Mapping a dissipative quantum spin chain onto a generalized Coulomb gas |
| title_short | Mapping a dissipative quantum spin chain onto a generalized Coulomb gas |
| title_sort | mapping a dissipative quantum spin chain onto a generalized coulomb gas |
| url | https://scipost.org/SciPostPhys.17.5.130 |
| work_keys_str_mv | AT oscarbouverotdupuis mappingadissipativequantumspinchainontoageneralizedcoulombgas |