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Dissipative quantum state preparation and metastability in two-photon micromasers

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Andreas Kouzelis

Katarzyna Macieszczak


We study the preparation of coherent quantum states in a two-photon micromaser for applications in quantum metrology. While this setting can be in principle realized in a host of physical systems, we consider atoms interacting with the field of a cavity. We focus on the case of the interaction described by the Jaynes-Cummings Hamiltonian, which cannot be achieved by the conventional approach with three-level atoms coupled to the cavity field at two-photon resonance. We find that additional levels are required in order to cancel Starks shifts emerging in the leading order. Once this is accomplished, the dynamics of the cavity features a degenerate stationary state manifold of pure states. We derive the analytic form of these states, and show that they include Schrödinger cat states with a tunable mean photon number. We also confirm these states can be useful in phase estimation protocols with their quantum Fisher information exceeding the standard limit. To account for realistic imperfections, we consider single-photon losses from the cavity, finite lifetime of atom-levels and higher-order corrections in the far-detuned limit, which results in metastability of formerly stationary cavity states and long-time dynamics with a unique mixed stationary state. Despite being mixed, this stationary state can still feature quantum Fisher Information above the standard limit. Our work delivers a comprehensive overview of the two-photon micromasers dynamics with particular focus on application in phase estimation and, while we consider the setup with atoms coupled to a cavity, the results can be directly translated to optomechanical systems.


Kouzelis, A., Macieszczak, K., Minář, J., & Lesanovsky, I. (2020). Dissipative quantum state preparation and metastability in two-photon micromasers. Physical Review A, 101(4), Article 043847.

Journal Article Type Article
Acceptance Date Mar 9, 2020
Online Publication Date Apr 29, 2020
Publication Date Apr 29, 2020
Deposit Date Jun 8, 2020
Publicly Available Date Jun 10, 2020
Journal Physical Review A
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 101
Issue 4
Article Number 043847
Public URL
Publisher URL


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