Bandstructure of a coupled BEC-cavity system: effects of dissipation and geometry
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917997949485056 |
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| author | Baur, David Hertlein, Simon Baumgärtner, Alexander Stefaniak, Justyna Esslinger, Tilman Natale, Gabriele Donner, Tobias |
| author_facet | Baur, David Hertlein, Simon Baumgärtner, Alexander Stefaniak, Justyna Esslinger, Tilman Natale, Gabriele Donner, Tobias |
| contents | We present a theoretical model for a transversally driven Bose-Einstein condensate coupled to an optical cavity. We focus on the interplay between different coherent couplings, which can trigger a structural phase transition, known as the superradiant phase transition. Our approach, based on band structure theory and a mean-field description, enables a comprehensive analysis of the nature of the system's excited modes, precursing the phase transitions. By incorporating dissipative couplings, intrinsic to these systems, we find non-Hermitian phenomena such as the coalescence of crossing precursor modes and the emergence of exceptional points (EPs). The general formulation of our model allows us to explain the role of an angle between transverse pump and the cavity deviating from $90^\circ$. This offers us a unified perspective on the plethora of different implementations of such systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17730 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bandstructure of a coupled BEC-cavity system: effects of dissipation and geometry Baur, David Hertlein, Simon Baumgärtner, Alexander Stefaniak, Justyna Esslinger, Tilman Natale, Gabriele Donner, Tobias Quantum Gases Atomic Physics Quantum Physics We present a theoretical model for a transversally driven Bose-Einstein condensate coupled to an optical cavity. We focus on the interplay between different coherent couplings, which can trigger a structural phase transition, known as the superradiant phase transition. Our approach, based on band structure theory and a mean-field description, enables a comprehensive analysis of the nature of the system's excited modes, precursing the phase transitions. By incorporating dissipative couplings, intrinsic to these systems, we find non-Hermitian phenomena such as the coalescence of crossing precursor modes and the emergence of exceptional points (EPs). The general formulation of our model allows us to explain the role of an angle between transverse pump and the cavity deviating from $90^\circ$. This offers us a unified perspective on the plethora of different implementations of such systems. |
| title | Bandstructure of a coupled BEC-cavity system: effects of dissipation and geometry |
| topic | Quantum Gases Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.17730 |