Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases

Abstract

For a quantum gas, being subject to continuous feedback of a macroscopic observable, the single-particle dynamics is studied. Albeit feedback-induced particle correlations, it is shown that analytic solutions are obtained by formally extending the single-particle Hilbert space by an auxiliary degree of freedom. The particle's motion is then fed by colored noise, which effectively maps quantum-statistical correlations onto the single particle. Thus, the single particle in the continuously controlled gas follows a non-Markovian trajectory in phase-space.

5 pages, 2 figures, accepted for publication in Phys. Rev. Lett

References in corpus (3)

• Spin squeezing via quantum feedback
• Quantum Theory of Feedback of Bosonic Gases
• Quantum dissipative systems from theory of continuous measurements

Cited by in corpus (5)

• Feedback-Induced Quantum Phase Transitions Using Weak Measurements
• Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
• Analytical model of non-Markovian decoherence in donor-based charge quantum bits
• Non-Linear Dynamics of Continuously Measured Bose-Einstein Condensates in One-Dimensional Harmonic Traps
• Test of the quantumness of atom-atom correlations in a bosonic gas