Multipartite correlations in quantum collision models
- URL: http://arxiv.org/abs/2204.02358v1
- Date: Tue, 5 Apr 2022 17:06:27 GMT
- Title: Multipartite correlations in quantum collision models
- Authors: Sergey N. Filippov
- Abstract summary: A challenge in the standard collision model is how to describe quantum correlations among ancillas induced by successive system-ancilla interactions.
Here we develop a tensor network formalism to address both challenges.
In the case of the initially correlated ancillas, we construct a general tensor diagram for the system dynamics and derive a memory- kernel master equation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum collision models have proved to be useful for a clear and concise
description of many physical phenomena in the field of open quantum systems:
thermalization, decoherence, homogenization, nonequilibrium steady state,
entanglement generation, simulation of many-body dynamics, quantum thermometry.
A challenge in the standard collision model, where the system and many ancillas
are all initially uncorrelated, is how to describe quantum correlations among
ancillas induced by successive system-ancilla interactions. Another challenge
is how to deal with initially correlated ancillas. Here we develop a tensor
network formalism to address both challenges. We show that the induced
correlations in the standard collision model are well captured by a matrix
product state (a matrix product density operator) if the colliding particles
are in pure (mixed) states. In the case of the initially correlated ancillas,
we construct a general tensor diagram for the system dynamics and derive a
memory-kernel master equation. Analyzing the perturbation series for the memory
kernel, we go beyond the recent results concerning the leading role of
two-point correlations and consider multipoint correlations (Waldenfelds
cumulants) that become relevant in the higher order stroboscopic limits. These
results open an avenue for a further analysis of memory effects in the
collisional quantum dynamics.
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