We examine how the ability of a system to redundantly proliferate relevant information about its pointer states is affected when it is coupled to multiple baths. To this end, we consider a system in contact with two baths: one—termed the accessible environment —which, on its own, induces a pure dephasing mechanism on the state of the system and satisfies the conditions for classical objectivity to be established. The second environment, which we dub as inaccessible, affects the system in two physically relevant ways. Firstly, we consider an interaction that commutes with the Hamiltonian describing the interaction between system and accessible bath. It thus also gives rise to dephasing of the system, albeit on different time scales. Secondly, we consider a thermalising interaction, which does not commute with the system-accessible environment Hamiltonian. While the former still allows the system to redundantly encode its state into the accessible environment, the latter degrades the correlations, eventually destroying them in the long-time limit, and thus leads to a loss of the conditions necessary for classical objectivity to be established. This sheds light on the role that commutativity between the various system-bath interaction terms plays when establishing the conditions for classical objectivity to be supported.

Ryan E., Carolan E., Campbell S., Paternostro M. (2022). Commutativity and the emergence of classical objectivity. JOURNAL OF PHYSICS COMMUNICATIONS, 6(9), 095005 [10.1088/2399-6528/ac8f19].

Commutativity and the emergence of classical objectivity

Paternostro M.
Ultimo
Supervision
2022-09-14

Abstract

We examine how the ability of a system to redundantly proliferate relevant information about its pointer states is affected when it is coupled to multiple baths. To this end, we consider a system in contact with two baths: one—termed the accessible environment —which, on its own, induces a pure dephasing mechanism on the state of the system and satisfies the conditions for classical objectivity to be established. The second environment, which we dub as inaccessible, affects the system in two physically relevant ways. Firstly, we consider an interaction that commutes with the Hamiltonian describing the interaction between system and accessible bath. It thus also gives rise to dephasing of the system, albeit on different time scales. Secondly, we consider a thermalising interaction, which does not commute with the system-accessible environment Hamiltonian. While the former still allows the system to redundantly encode its state into the accessible environment, the latter degrades the correlations, eventually destroying them in the long-time limit, and thus leads to a loss of the conditions necessary for classical objectivity to be established. This sheds light on the role that commutativity between the various system-bath interaction terms plays when establishing the conditions for classical objectivity to be supported.
14-set-2022
Settore FIS/03 - Fisica Della Materia
Ryan E., Carolan E., Campbell S., Paternostro M. (2022). Commutativity and the emergence of classical objectivity. JOURNAL OF PHYSICS COMMUNICATIONS, 6(9), 095005 [10.1088/2399-6528/ac8f19].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/620689
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