Opening a gap in the dispersion of the collective excitations of a driven-dissipative condensate subject to an external coherent drive
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915985316904960 |
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| author | Stazzu, E. Sacchetto, G. A. P. Carusotto, I. |
| author_facet | Stazzu, E. Sacchetto, G. A. P. Carusotto, I. |
| contents | We build a minimal theoretical model to describe the opening of a gap in the dispersion of the collective excitations of a driven-dissipative condensate when the condensate phase is fixed by an additional coherent phase-locking drive. We map out the phase diagram as a function of the amplitude and frequency of the coherent drive, identifying distinct regions corresponding to different steady-state regimes. For each region, we analyze the dispersion of the collective excitations and determine whether the spectrum is gapped, with either a purely imaginary gap or a finite real part. When the coherent drive is unable to lock the condensate phase, a gapless Goldstone mode is recovered. Within the same phase diagram, we further identify regions of finite-wavevector dynamical instability, where the condensate tends to develop a supersolid-like spatial modulation. While our theoretical framework is directly related to recent experiments with exciton-polariton condensates, it can be applied to describe the effect of external injection also in a variety of spatially extended optical parametric oscillators or laser devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20459 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Opening a gap in the dispersion of the collective excitations of a driven-dissipative condensate subject to an external coherent drive Stazzu, E. Sacchetto, G. A. P. Carusotto, I. Quantum Gases We build a minimal theoretical model to describe the opening of a gap in the dispersion of the collective excitations of a driven-dissipative condensate when the condensate phase is fixed by an additional coherent phase-locking drive. We map out the phase diagram as a function of the amplitude and frequency of the coherent drive, identifying distinct regions corresponding to different steady-state regimes. For each region, we analyze the dispersion of the collective excitations and determine whether the spectrum is gapped, with either a purely imaginary gap or a finite real part. When the coherent drive is unable to lock the condensate phase, a gapless Goldstone mode is recovered. Within the same phase diagram, we further identify regions of finite-wavevector dynamical instability, where the condensate tends to develop a supersolid-like spatial modulation. While our theoretical framework is directly related to recent experiments with exciton-polariton condensates, it can be applied to describe the effect of external injection also in a variety of spatially extended optical parametric oscillators or laser devices. |
| title | Opening a gap in the dispersion of the collective excitations of a driven-dissipative condensate subject to an external coherent drive |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2512.20459 |