Irreversible Quantum Baker Map

Abstract

We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of this super-operator and their link with the increase of the entropy of initially pure states.

4 pages, 3 figures included

References in corpus (2)

• Experimental Implementation of the Quantum Baker's Map
• Decoherence for classically chaotic quantum maps

Cited by in corpus (14)

• Random Quantum Operations
• Fractal Weyl laws in discrete models of chaotic scattering
• Quantum Iterated Function Systems
• Distribution of resonances in the quantum open baker map
• Short periodic orbit approach to resonances and the fractal Weyl law
• Universality of spectra for interacting quantum chaotic systems
• Quantum dynamical entropy and decoherence rate
• Entangling power of baker's map: Role of symmetries
• Short periodic orbits theory for partially open quantum maps
• Wigner separability entropy and complexity of quantum dynamics
• The role of short periodic orbits in quantum maps with continuous openings
• Phase space contraction and quantum operations
• Spectral behavior of contractive noise
• Weyl law for contractive maps