Collision-model-based approach to non-Markovian quantum dynamics
| Autor: | G. M. Palma, Francesco Ciccarello, Vittorio Giovannetti |
|---|---|
| Přispěvatelé: | Ciccarello, F, Palma, GM, Giovannetti, V, F., Ciccarello, G. M., Palma, Giovannetti, Vittorio |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Physics
Quantum Physics Quantum decoherence Quantum dynamics Markov process FOS: Physical sciences Atomic and Molecular Physics and Optics symbols.namesake Exact solutions in general relativity Classical mechanics SPIN Non-Markovian open quantum systems collision models Master equation Dissipative system symbols Statistical physics Quantum information Quantum Physics (quant-ph) Quantum |
| Zdroj: | Physical review. A (2013). doi:10.1103/PhysRevA.87.040103 info:cnr-pdr/source/autori:Ciccarello F. [ 1,2,3,4 ] ; Palma G. M. [ 3,4 ] ; Giovannetti V. [ 1,2 ]/titolo:Collision-model-based approach to non-Markovian quantum dynamics/doi:10.1103%2FPhysRevA.87.040103/rivista:Physical review. A/anno:2013/pagina_da:/pagina_a:/intervallo_pagine:/volume |
| DOI: | 10.1103/PhysRevA.87.040103 |
| Popis: | We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we endow the bath with memory by introducing inter-ancillary collisions between next system-ancilla interactions. Our model interpolates between a fully Markovian dynamics and the continuous interaction of the system with a single ancilla, i.e., a strongly non-Markovian process. We show that in the continuos limit one can derive a general master equation, which while keeping such features is guaranteed to describe an unconditionally completely positive and trace-preserving dynamics. We apply our theory to an atom in a dissipative cavity for a Lorentzian spectral density of bath modes, a dynamics which can be exactly solved. The predicted evolution shows a significant improvement in approaching the exact solution with respect to two well-known memory-kernel master equations. 5+1 pages, 2 figures |
| Databáze: | OpenAIRE |
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