Homodyne versus photon-counting quantum trajectories for dissipative Kerr resonators with two-photon driving

Abstract

We investigate two different kinds of quantum trajectories for a nonlinear photon resonator subject to two-photon pumping, a configuration recently studied for the generation of photonic Schroedinger cat states. In the absence of feedback control and in the strong-driving limit, the steady-state density matrix is a statistical mixture of two states with equal weight. While along a single photon-counting trajectory the systems intermittently switches between an odd and an even cat state, we show that upon homodyne detection the situation is different. Indeed, homodyne quantum trajectories reveal switches between coherent states of opposite phase.

To appear on Eur. Phys. J. Special Topics, Quantum Gases and Quantum Coherence; 8 pages, 2 composed figures (5 panels)

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Quantum fluids of light
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Tomographic reconstruction of the single-photon Fock state by high-frequency homodyne detection

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