Random Phase Infinite Coherent States: Construction and Dynamics

Alain Joye (1) , Marco Merkli (2)

1 IF - Institut Fourier
2 MUN - Memorial University of Newfoundland = Université Memorial de Terre-Neuve [St. John's, Canada]

We consider an infinitely extended reservoir of Boson coherent states characterized by a given spatial density of modes and i.i.d. random phases. We construct its Hilbert space representation which has a random part and is expressed by means of Ito stochastic integrals. We study the open system dynamics of an N-level system coupled to the random infinite coherent state by an energy conserving interaction. We show that the coherent state reservoir induces faster system decoherence than a thermal reservoir.

Domaines: Physique mathématique [math-ph]

Alain Joye, Marco Merkli. Random Phase Infinite Coherent States: Construction and Dynamics. Federico Bonetto, David Borthwick, Evans Harrell and Michael Loss. Mathematical Problems in Quantum Physics, 717, American Mathematical Society, 2018, Contemporary Mathematics, 978-1-4704-3681-0. ⟨hal-01990458⟩