The quantum dynamical map of the spin boson model

• URL: http://arxiv.org/abs/2001.04236v2
• Date: Tue, 10 Mar 2020 15:21:55 GMT
• Title: The quantum dynamical map of the spin boson model
• Authors: In\'es de Vega
• Abstract summary: We present a non-peturbative extension of such map, i.e. that is valid for a general spin coupled to a bosonic environment in a thermal state. The proposed derivation can be extended to other finite-level open quantum systems including many body, initial system-environment correlated states, multiple-time correlation functions or quantum information protocols.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: One of the main frameworks to analyze the effects of the environment in a quantum computer is that of pure dephasing, where the dynamics of qubits can be characterised in terms of a well-known dynamical map. In this work we present a non-peturbative extension of such map beyond this simple pure-dephasing case, i.e. that is valid for a general spin coupled to a bosonic environment in a thermal state. To this aim, we use a Trotter decomposition and a Magnus expansion to simplify the unitary evolution operator in interaction picture. The proposed derivation can be extended to other finite-level open quantum systems including many body, initial system-environment correlated states, multiple-time correlation functions or quantum information protocols.

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