Bimodal phase transition in a periodically modulated $Λ$-type three-level system
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908477017817088 |
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| author | Mishra, Sanjoy Sharma, Shraddha Rai, Amit Mahanandia, Pitamber |
| author_facet | Mishra, Sanjoy Sharma, Shraddha Rai, Amit Mahanandia, Pitamber |
| contents | We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $Λ$-type three-level system (3LS) embedded in a double-mode cavity, described by a three-level Jaynes-Cumming (3L-JC) Hamiltonian. To begin with, we probe the undriven static Hamiltonian in the dressed-state basis to identify and define distinct coupling regimes and critical points associated with both cavity modes. Furthermore, to investigate the dynamical QPTs in this system, we incorporate a periodic modulation across two atomic states (denoted by $|3\rangle_{at}$ and $|2\rangle_{at}$) out of the three available energy levels. By performing necessary transformations and approximations, we reduce the overall Hamiltonian, which contains static and dynamic modulation terms, into an effective 3L-JC Hamiltonian whose system parameters are dependent on the driving parameters. The validity of our approximations is verified using the Loschmidt echo of time-evolved states corresponding to Hamiltonians before and after the approximations. Finally, we demonstrate that by tuning the modulation parameters, it is possible to explore bimodal superradiant phases in a three-level $Λ$-type system while remaining within the critical coupling limits of the static Hamiltonian. Our results provide an insight into the manipulation of quantum phases in a three-level system within an effective extended Jaynes-Cummings regime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_01626 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bimodal phase transition in a periodically modulated $Λ$-type three-level system Mishra, Sanjoy Sharma, Shraddha Rai, Amit Mahanandia, Pitamber Quantum Physics We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $Λ$-type three-level system (3LS) embedded in a double-mode cavity, described by a three-level Jaynes-Cumming (3L-JC) Hamiltonian. To begin with, we probe the undriven static Hamiltonian in the dressed-state basis to identify and define distinct coupling regimes and critical points associated with both cavity modes. Furthermore, to investigate the dynamical QPTs in this system, we incorporate a periodic modulation across two atomic states (denoted by $|3\rangle_{at}$ and $|2\rangle_{at}$) out of the three available energy levels. By performing necessary transformations and approximations, we reduce the overall Hamiltonian, which contains static and dynamic modulation terms, into an effective 3L-JC Hamiltonian whose system parameters are dependent on the driving parameters. The validity of our approximations is verified using the Loschmidt echo of time-evolved states corresponding to Hamiltonians before and after the approximations. Finally, we demonstrate that by tuning the modulation parameters, it is possible to explore bimodal superradiant phases in a three-level $Λ$-type system while remaining within the critical coupling limits of the static Hamiltonian. Our results provide an insight into the manipulation of quantum phases in a three-level system within an effective extended Jaynes-Cummings regime. |
| title | Bimodal phase transition in a periodically modulated $Λ$-type three-level system |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.01626 |