Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss
We develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians. We discuss how the dissipative Bethe ansatz opens the possibility of analytically calculating the dynamics of a wide...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2020-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abd124 |
| _version_ | 1797750288970416128 |
|---|---|
| author | Berislav Buča Cameron Booker Marko Medenjak Dieter Jaksch |
| author_facet | Berislav Buča Cameron Booker Marko Medenjak Dieter Jaksch |
| author_sort | Berislav Buča |
| collection | DOAJ |
| description | We develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians. We discuss how the dissipative Bethe ansatz opens the possibility of analytically calculating the dynamics of a wide range of experimentally relevant models including cold atoms subjected to one and two body losses, coupled cavity arrays with bosons escaping the cavity, and cavity quantum electrodynamics. As an example of our approach we study the relaxation properties in a boundary driven XXZ spin chain. We exactly calculate the Liouvillian gap and find different relaxation rates with a novel type of dynamical dissipative phase transition. This physically translates into the formation of a stable domain wall in the easy-axis regime despite the presence of loss. Such analytic results have previously been inaccessible for systems of this type. |
| first_indexed | 2024-03-12T16:30:32Z |
| format | Article |
| id | doaj.art-71a8a476026f449bb28f0f8fd0a2e7b6 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:32Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-71a8a476026f449bb28f0f8fd0a2e7b62023-08-08T15:30:43ZengIOP PublishingNew Journal of Physics1367-26302020-01-01221212304010.1088/1367-2630/abd124Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under lossBerislav Buča0https://orcid.org/0000-0003-3119-412XCameron Booker1https://orcid.org/0000-0003-1038-3220Marko Medenjak2Dieter Jaksch3Clarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomClarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomInstitut de Physique Théorique Philippe Meyer, École Normale Supérieure, PSL University , Sorbonne Universités, CNRS, 75005 Paris, FranceClarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomWe develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians. We discuss how the dissipative Bethe ansatz opens the possibility of analytically calculating the dynamics of a wide range of experimentally relevant models including cold atoms subjected to one and two body losses, coupled cavity arrays with bosons escaping the cavity, and cavity quantum electrodynamics. As an example of our approach we study the relaxation properties in a boundary driven XXZ spin chain. We exactly calculate the Liouvillian gap and find different relaxation rates with a novel type of dynamical dissipative phase transition. This physically translates into the formation of a stable domain wall in the easy-axis regime despite the presence of loss. Such analytic results have previously been inaccessible for systems of this type.https://doi.org/10.1088/1367-2630/abd124open quantum systemsintegrabilityBethe ansatzHeisenberg spin chainsdomain wall |
| spellingShingle | Berislav Buča Cameron Booker Marko Medenjak Dieter Jaksch Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss New Journal of Physics open quantum systems integrability Bethe ansatz Heisenberg spin chains domain wall |
| title | Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss |
| title_full | Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss |
| title_fullStr | Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss |
| title_full_unstemmed | Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss |
| title_short | Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss |
| title_sort | bethe ansatz approach for dissipation exact solutions of quantum many body dynamics under loss |
| topic | open quantum systems integrability Bethe ansatz Heisenberg spin chains domain wall |
| url | https://doi.org/10.1088/1367-2630/abd124 |
| work_keys_str_mv | AT berislavbuca betheansatzapproachfordissipationexactsolutionsofquantummanybodydynamicsunderloss AT cameronbooker betheansatzapproachfordissipationexactsolutionsofquantummanybodydynamicsunderloss AT markomedenjak betheansatzapproachfordissipationexactsolutionsofquantummanybodydynamicsunderloss AT dieterjaksch betheansatzapproachfordissipationexactsolutionsofquantummanybodydynamicsunderloss |