Non-Markovian Dynamics of Open Quantum Systems via Auxiliary Particles with Exact Operator Constraint

• URL: http://arxiv.org/abs/2308.00968v2
• Date: Sun, 3 Mar 2024 06:45:10 GMT
• Title: Non-Markovian Dynamics of Open Quantum Systems via Auxiliary Particles with Exact Operator Constraint
• Authors: Tim Bode, Michael Kajan, Francisco Meirinhos, Johann Kroha
• Abstract summary: We introduce an auxiliary-particle field theory to treat the non-Markovian dynamics of driven-dissipative quantum systems. We apply the method to a driven-dissipative photon Bose-Einstein condensate (BEC) coupled to a reservoir of dye molecules with electronic and vibronic excitations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce an auxiliary-particle field theory to treat the non-Markovian dynamics of driven-dissipative quantum systems of the Jaynes-Cummings type. It assigns an individual quantum field to each reservoir state and provides an analytic, faithful representation of the coupled system-bath dynamics. We apply the method to a driven-dissipative photon Bose-Einstein condensate (BEC) coupled to a reservoir of dye molecules with electronic and vibronic excitations. The complete phase diagram of this system exhibits a hidden, non-Hermitian phase transition separating temporally oscillating from biexponentially decaying photon density correlations within the BEC. On one hand, this provides a qualitative distinction of the thermal photon BEC from a laser. On the other hand, it shows that one may continuously tune from the BEC to the lasing phase by circumventing a critical point. This auxiliary-particle method is generally applicable to the dynamics of open, non-Markovian quantum systems.

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