Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical dynamics for system-bath coherence correlation spectrum   We propose a quasi-particle description for the hierarchical equations of
motion formalism for quantum dissipative dynamics systems. Not only it provides
an alternative mathematical means to the existing formalism, the new protocol
clarifies also explicitly the physical meanings of the auxiliary density
operators and their relations to full statistics on solvation bath variables.
Combining with the standard linear response theory, we construct further the
hierarchical dynamics formalism for correlated spectrum of system--bath
coherence. We evaluate the spectrum matrix for a demonstrative spin-boson
system-bath model. While the individual diagonal element of the spectrum matrix
describes the system or the solvation bath correlation, the off-diagonal
elements characterize the correlation between system and bath solvation
dynamics.

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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph