Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the
  spectrum of time-independent and Floquet open quantum systems   The characterization of open quantum systems is a central and recurring
problem for the development of quantum technologies. For time-independent
systems, an (often unique) steady state describes the average physics once all
the transient processes have faded out, but interesting quantum properties can
emerge at intermediate timescales. Given a Lindblad master equation, these
properties are encoded in the spectrum of the Liouvillian whose
diagonalization, however, is a challenge even for small-size quantum systems.
Here, we propose a new method to efficiently provide the Liouvillian spectral
decomposition. We call this method an Arnoldi-Lindblad time evolution, because
it exploits the algebraic properties of the Liouvillian superoperator to
efficiently construct a basis for the Arnoldi iteration problem. The advantage
of our method is double: (i) It provides a faster-than-the-clock method to
efficiently obtain the steady state, meaning that it produces the steady state
through time evolution shorter than needed for the system to reach
stationarity. (ii) It retrieves the low-lying spectral properties of the
Liouvillian with a minimal overhead, allowing to determine both which quantum
properties emerge and for how long they can be observed in a system. This
method is general and model-independent, and lends itself to the study of large
systems where the determination of the Liouvillian spectrum can be numerically
demanding but the time evolution of the density matrix is still doable. Our
results can be extended to time evolution with a time-dependent Liouvillian. In
particular, our method works for Floquet (i.e., periodically driven) systems,
where it allows not only to construct the Floquet map for the slow-decaying
processes, but also to retrieve the stroboscopic steady state and the
eigenspectrum of the Floquet map. We apply our method to several examples.

9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys