We study the dynamics of classical and quantum systems linearly interacting with a classical environment represented by an infinite set of harmonic oscillators. The environment induces a dynamical localization of the quantum state into a generalized coherent state for which the $\hbar \to 0$ limit always exists and reproduces the classical motion. We describe the consequences of this localization on the behavior of a macroscopic system by considering the example of a Schroedinger cat.We study the dynamics of classical and quantum systems linearly interacting with a classical environment represented by an infinite set of harmonic oscillators. The environment induces a dynamical localization of the quantum state into a generalized coherent state for which the $\hbar \to 0$ limit always exists and reproduces the classical motion. We describe the consequences of this localization on the behavior of a macroscopic system by considering the example of a Schroedinger cat.

arXiv:cond-mat/9809014Sep 1, 19981 citation

Examples of Bi-coherent States

Fabio Bagarello

Mathematical physics studiesJan 1, 20220 citations

Coherent States and Their Applications

Jean-Pierre Antoine, Bagarello, Fabio, Jean‐Pierre Gazeau

Springer proceedings in physicsJan 1, 201835 citations

Classical Behavior of a Macroscopic Schrödinger Cat

Carlo Presilla A

Kluwer Academic Publishers eBooksDec 19, 20050 citations

Measuring time-dependent induced quantum coherences via two-dimensional coherence spectroscopy

William Barford, Allison Nicole Arber, Fynn McLennan +1 more

We propose a two-dimensional spectroscopic protocol for measuring the time-dependent coherences between the stationary states of a system induced by a time-dependent system-bath interaction. We also investigate the role of temporally correlated noise on coherence dephasing. This protocol enables dynamical information about the system and its coupling to the environment to be determined. Our results are based on the quantum-trajectory method, and are obtained from both approximate, analytical and exact, numerical solutions of the time-dependent Schr\"odinger equation. As an example, we show how this protocol can be used to investigate exciton dynamics in conjugated polymers induced by the coupling of their torsional modes with the environment.We propose a two-dimensional spectroscopic protocol for measuring the time-dependent coherences between the stationary states of a system induced by a time-dependent system-bath interaction. We also investigate the role of temporally correlated noise on coherence dephasing. This protocol enables dynamical information about the system and its coupling to the environment to be determined. Our results are based on the quantum-trajectory method, and are obtained from both approximate, analytical and exact, numerical solutions of the time-dependent Schr\"odinger equation. As an example, we show how this protocol can be used to investigate exciton dynamics in conjugated polymers induced by the coupling of their torsional modes with the environment.

arXiv:2104.03041Physical Review ADec 27, 20211 citation

On the dynamics of generalized coherent states

Blagovest A. Nikolov, D. A. Trifonov

Jan 1, 19810 citations

\hbar \to 0

limit always exists and reproduces the classical motion. We describe the consequences of this localization on the behavior of a macroscopic system by considering the example of a Schroedinger cat.