Quantum chaos caused by the continuous measurement

Michael B. Mensky

Paolo Facchi A, Saverio Pascazio, Antonello Scardicchio

Sigurd Dyrting, Gerard J Milburn

Summary form only given. Although schemes have been proposed, there has been no experimental realization of continuous measurement in atom optics. We study the effect of phase noise on laser-cooled atoms undergoing dynamic localization. Depending on the type of noise the master equation also describes a continuous measurement of momentum or position. Hence it is possible to test the effect of measurement in quantum chaos by tailoring the noise source.

Nagahiro Saito

Igor Yusipov, Olga Vershinina, S. Denisov +2 more

Quantum systems, when interacting with their environments, may exhibit nonequilibrium states that are tempting to be interpreted as quantum analogs of chaotic attractors. However, different from the Hamiltonian case, the toolbox for quantifying dissipative quantum chaos remains limited. In particular, quantum generalizations of Lyapunov exponents, the main quantifiers of classical chaos, are established only within the framework of continuous measurements. We propose an alternative generalization based on the unraveling of quantum master equation into an ensemble of "quantum trajectories," by using the so-called Monte Carlo wave-function method. We illustrate the idea with a periodically modulated open quantum dimer and demonstrate that the transition to quantum chaos matches the period-doubling route to chaos in the corresponding mean-field system.

Asher Peres