Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring the possibilities of dynamical quantum phase transitions in
  the presence of a Markovian bath   We explore the possibility of dynamical quantum phase transitions (DQPTs)
occurring during the temporal evolution of a quenched transverse field Ising
chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion
space) using two versions of the Loschmidt overlap (LO), namely, the fidelity
induced LO and the interferometric phase induced LO. The bath, on the one hand,
dictates the dissipative evolution following a sudden quench and on the other,
plays a role in dissipative mixed state preparation in the later part of the
study. During a dissipative evolution following a sudden quench, no trace of
DQPTs are revealed in both the fidelity and the interferometric phase
approaches; however, remarkably the interferometric phase approach reveals the
possibility of inter-steady state DQPTs in passage from one steady state to the
other when the system is subjected to a quench after having reached the first
steady state. We further probe the occurrences of DQPTs when the system evolves
unitarily after being prepared in a mixed state of engineered purity by ramping
the transverse field in a linear fashion in the presence of the bath. In this
case though the fidelity approach fails to indicate any DQPT, the
interferometric approach indeed unravels the possibility of occurrence of DQPTs
which persists even up to a considerable loss of purity of the engineered
initial state as long as a constraint relation involving the dissipative
coupling and ramping time (rate) is satisfied. This constraint relation also
marks the boundary between two dynamically inequivalent phases; in one the LO
vanishes for the critical momentum mode (and hence DQPTs exist) while in the
other no such critical mode can exist and hence the LO never vanishes.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess