Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collision-model-based approach to non-Markovian quantum dynamics   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.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci