Journal
PHYSICAL REVIEW LETTERS
Volume 123, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.234103
Keywords
-
Categories
Funding
- NSF [DMR-1653271, DMR-1508538]
- United States-Israel Binational Science Foundation [2018159]
Ask authors/readers for more resources
We discuss the decay rates of chaotic quantum systems coupled to noise. We model both the Hamiltonian and the system-noise coupling by random N x N Hermitian matrices, and study the spectral properties of the resulting Liouvillian superoperator. We consider various random-matrix ensembles, and find that for all of them the asymptotic decay rate remains nonzero in the thermodynamic limit; i.e., the spectrum of the superoperator is gapped as N -> infinity. For finite N, the probability of finding a very small gap vanishes as P(Delta) similar to Delta(cN), where c is insensitive to the dissipation strength. A sharp spectral transition takes place as the dissipation strength is increased: for dissipation beyond a critical strength, the slowest-decaying eigenvalues of the Liouvillian correspond to isolated midgap states. We give evidence that midgap states exist also for nonrandom system-noise coupling and discuss some experimental implications of the above results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available