Abstract
We study the spectral properties of Markovian driven-dissipative quantum systems, focusing on the nonlinear quantum van der Pol oscillator as a paradigmatic example. We discuss a generalized Lehmann representation, in which single-particle Green's functions are expressed in terms of the eigenstates and eigenvalues of the Liouvillian. Applying it to the quantum van der Pol oscillator, we find a wealth of phenomena that are not apparent in the steady-state density matrix alone. Unlike the steady state, the photonic spectral function has a strong dependence on interaction strength. Further, we find that the interplay of interaction and non-equilibrium effects can result in a surprising ‘negative density of states’, associated with a negative temperature, even in absence of steady state population inversion.
Highlights
Recent experimental progress in controllable quantum systems has renewed the interest in driven-dissipative quantum phenomena
We study the spectral properties of Markovian driven-dissipative quantum systems, focusing on the licence
Applying it to the quantum van der Pol oscillator, we find a wealth of author(s) and the title of the work, journal citation phenomena that are not apparent in the steady-state density matrix alone
Summary
Nonlinear quantum van der Pol oscillator as a paradigmatic example. Applying it to the quantum van der Pol oscillator, we find a wealth of author(s) and the title of the work, journal citation phenomena that are not apparent in the steady-state density matrix alone. We find that the interplay of interaction and non-equilibrium effects can result in a surprising ‘negative density of states’, associated with a negative temperature, even in absence of steady state population inversion
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