Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
- Departamento de Fisica, Comision Nacional de Energia Atomica, Avenida del Libertador 8250 (C1429BNP), Buenos Aires (Argentina)
- Departamento de Fisica, FCEyN, UBA, Pabellon 1 Ciudad Universitaria, 1428 Buenos Aires (Argentina)
We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a ''quantum walker,'' i.e., a quantum particle that can move on a lattice with a finite number of sites. The walker interacts with an environment which has a D-dimensional Hilbert space. The results we obtain suggest that regular and chaotic environments are not distinguishable from each other in a (short) time scale t*, which scales with the dimensionality of the environment as t*{proportional_to}log{sub 2}(D). However, chaotic environments continue to be effective over exponentially longer time scales while regular environments tend to reach saturation much sooner. We present both numerical and analytical results supporting this conclusion. The family of chaotic evolutions we consider includes the so-called quantum multibaker map as a particular case.
- OSTI ID:
- 20786647
- Journal Information:
- Physical Review. A, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevA.73.012302; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Asymptotic evolution of quantum walks on the N-cycle subject to decoherence on both the coin and position degrees of freedom
Decoherence in large NMR quantum registers