Bimodal phase transition in a periodically modulated $Λ$-type three-level system

• URL: http://arxiv.org/abs/2508.01626v1
• Date: Sun, 03 Aug 2025 07:31:43 GMT
• Title: Bimodal phase transition in a periodically modulated $Λ$-type three-level system
• Authors: Sanjoy Mishra, Shraddha Sharma, Amit Rai, Pitamber Mahanandia,
• Abstract summary: We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $Lambda$-type three-level system.<n>Our results provide an insight into the manipulation of quantum phases in a three-level system within an effective extended Jaynes-Cummings regime.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $\Lambda$-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 $\Lambda$-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.

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