Emerging Non-Hermitian Topology in a Chiral Driven-Dissipative Bose-Hubbard Model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917837212221440 |
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| author | Rassaert, Laszlo Ramos, Tomás Roscilde, Tommaso Porras, Diego |
| author_facet | Rassaert, Laszlo Ramos, Tomás Roscilde, Tommaso Porras, Diego |
| contents | We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes, in which time-reversal symmetry is broken by a coherent drive with a uniform phase gradient. We investigate this model by means of a Gaussian variational ansatz and numerically prove that the steady-state solution is stabilized by an inhomogeneous profile of the driving amplitude, which damps out boundary effects. Our calculations unveil a non-equilibrium phase diagram showing low- and high-density phases for photons separated by a phase coexistence region in which the system exhibits the phenomenon of topological amplification and is characterized by a finite non-Hermitian winding number. Our work shows the emergence of non-Hermitian topological phases in an interacting model that can be naturally implemented with superconducting circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08965 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emerging Non-Hermitian Topology in a Chiral Driven-Dissipative Bose-Hubbard Model Rassaert, Laszlo Ramos, Tomás Roscilde, Tommaso Porras, Diego Quantum Physics Other Condensed Matter We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes, in which time-reversal symmetry is broken by a coherent drive with a uniform phase gradient. We investigate this model by means of a Gaussian variational ansatz and numerically prove that the steady-state solution is stabilized by an inhomogeneous profile of the driving amplitude, which damps out boundary effects. Our calculations unveil a non-equilibrium phase diagram showing low- and high-density phases for photons separated by a phase coexistence region in which the system exhibits the phenomenon of topological amplification and is characterized by a finite non-Hermitian winding number. Our work shows the emergence of non-Hermitian topological phases in an interacting model that can be naturally implemented with superconducting circuits. |
| title | Emerging Non-Hermitian Topology in a Chiral Driven-Dissipative Bose-Hubbard Model |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2411.08965 |