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Quantum and classical Lyapunov exponents in atom-field interaction systems
The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as
a quantum signature of classical chaos. The growth rate is expected to coincide with the …
a quantum signature of classical chaos. The growth rate is expected to coincide with the …
Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
Quantum chaos refers to signatures of classical chaos found in the quantum domain.
Recently, it has become common to equate the exponential behavior of out-of-time order …
Recently, it has become common to equate the exponential behavior of out-of-time order …
Self-ordered limit cycles, chaos, and phase slippage with a superfluid inside an optical resonator
We study dynamical phases of a driven Bose-Einstein condensate coupled to the light field
of a high-Q optical cavity. For high field seeking atoms at red detuning the system is known …
of a high-Q optical cavity. For high field seeking atoms at red detuning the system is known …
Ubiquitous quantum scarring does not prevent ergodicity
In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any
point of the available phase space after a long time, filling it uniformly. Using Born's rules to …
point of the available phase space after a long time, filling it uniformly. Using Born's rules to …
Chaos and thermalization in the spin-boson Dicke model
We present a detailed analysis of the connection between chaos and the onset of
thermalization in the spin-boson Dicke model. This system has a well-defined classical limit …
thermalization in the spin-boson Dicke model. This system has a well-defined classical limit …
Dynamical signatures of quantum chaos and relaxation time scales in a spin-boson system
Quantum systems whose classical counterparts are chaotic typically have highly correlated
eigenvalues and level statistics that coincide with those from ensembles of full random …
eigenvalues and level statistics that coincide with those from ensembles of full random …
Classical chaos in atom-field systems
The relation between the onset of chaos and critical phenomena, like quantum phase
transitions (QPTs) and excited-state quantum phase transitions (ESQPTs), is analyzed for …
transitions (QPTs) and excited-state quantum phase transitions (ESQPTs), is analyzed for …
Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit
How the mixed eigenstates vary when approaching the semiclassical limit in mixed-type
many-body quantum systems is an interesting but still less known question. Here, we …
many-body quantum systems is an interesting but still less known question. Here, we …
Chaos in the three-site Bose-Hubbard model: Classical versus quantum
We consider a quantum many-body system—the Bose-Hubbard system on three sites—
which has a classical limit, and which is neither strongly chaotic nor integrable but rather …
which has a classical limit, and which is neither strongly chaotic nor integrable but rather …
Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
We compare the entire classical and quantum evolutions of the Dicke model in its regular
and chaotic domains. This is a paradigmatic interacting spin-boson model of great …
and chaotic domains. This is a paradigmatic interacting spin-boson model of great …