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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