Including temperature in a wavefunction description of the dynamics of the 
quantum Rabi model

Werther, Michael; Grossmann, Frank

doi:10.1088/1751-8121/aa94a1

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Including temperature in a wavefunction description of the dynamics of the quantum Rabi model

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Werther, Michael
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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http://iopscience.iop.org/article/10.1088/1751-8121/aa94a1/meta
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Citation

Werther, M., & Grossmann, F. (2018). Including temperature in a wavefunction description of the dynamics of the quantum Rabi model. Journal of Physics A, 51(1): 014001. doi:10.1088/1751-8121/aa94a1.

Cite as: https://hdl.handle.net/21.11116/0000-0001-4FF1-7

Abstract

We present a wavefunction methodology to account for finite temperature initial conditions in the quantum Rabi model. The approach is based on the Davydov Ansatz together with a statistical sampling of the canonical harmonic oscillator initial density matrix. Equations of motion are gained from a variational principle and numerical results are compared to those of the thermal Hamiltonian approach. For a system consisting of a single spin and a single oscillator and for moderate coupling strength, we compare our new results with full quantum ones as well as with other Davydov-type results based on alternative sampling/summation strategies. All of these perform better than the ones based on the thermal Hamiltonian approach. The best agreement is shown by a Boltzmann weighting of individual eigenstate propagations. Extending this to a bath of many oscillators will, however, be very demanding numerically. The use of any one of the investigated stochastic sampling approaches will then be favorable.