Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations of motion approach to decoherence and current noise in
  ballistic interferometers coupled to a quantum bath   We present a technique for treating many particles moving inside a ballistic
interferometer, under the influence of a quantum-mechanical environment
(phonons, photons, Nyquist noise etc.). Our approach is based on solving the
coupled Heisenberg equations of motion of the many-particle system and the bath
and is inspired by the quantum Langevin method known for the Caldeira Leggett
model. It allows to study decoherence and the influence of the bath on other
properties of the interferometer. As a first application, we treat a fermionic
Mach-Zehnder interferometer. In particular, we discuss the dephasing rate and
present full analytical expressions for the leading corrections to the current
noise, brought about by the coupling to the quantum bath.

23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci