14,931 research outputs found
On the symmetry improved CJT formalism in the linear sigma model
By using the symmetry improved CJT effective formalism developed by Pilaftsis
and Teresi, the chiral phase transition is reconsidered in the framework of the
linear sigma model in chiral limit. Our results confirm the restorations
of the second-order phase transition and the Goldstone theorem in the Hartree
approximation. Finally, we explicitly calculate the effective potentials via
the order parameter for various temperatures and address advantages of the
present method in comparison with the model in large- approximation.Comment: 11 pages, 3 figures, corrected typos and added references, Accepted
for publication in Nuclear Physics
Nontopological Soliton in the Polyakov Quark Meson Model
Within a mean field approximation, we study a nontopological soliton solution
of the Polyakov quark-meson model in the presence of a fermionic vacuum term
with two flavors at finite temperature and density. The profile of the
effective potential exhibits a stable soliton solution below a critical
temperature for both the crossover and the first-order phase
transitions, and these solutions are calculated here with appropriate boundary
conditions. However, it is found that only if ,the energy of the
soliton is less than the energy of the three free constituent quarks
. As , there is an instant delocalization phase transition from
hadron matter to quark matter. The phase diagram together with the location of
a critical end point (CEP) has been obtained in and plane. We notice
that two critical temperatures always satisfy . Finally,
we present and compare the result of thermodynamic pressure at zero chemical
potential with lattice data.Comment: 17 pages, 9 figures, Accepted for publication in Physical Review C.
arXiv admin note: text overlap with arXiv:1301.622
Domain Wall in the Linear Sigma Model
We discuss the role of the axial symmetry in the chiral phase
transition using the linear sigma model with two
massless quark flavors. We expect that above a certain temperature the axial
symmetry will be effectively restored as well as . Then we can construct a string-like static solution the
string and a kink-like classical solution the domain wall during the chiral
phase transition. We give out the possible signals for detecting the domain
wall in ultrarelativistic heavy-ion collisions.Comment: 4 page
On geometric and algebraic transience for discrete-time Markov chains
General characterizations of ergodic Markov chains have been developed in
considerable detail. In this paper, we study the transience for discrete-time
Markov chains on general state spaces, including the geometric transience and
algebraic transience. Criteria are presented through establishing the drift
condition and considering the first return time. As an application, we give
explicit criteria for the random walk on the half line and the skip-free chain
on nonnegative integers.Comment: 31 page
Pion String evolving in a thermal bath
By using the symmetry improved CJT effective formalism, we study a pion
string of the linear sigma model at finite temperature in chiral limit.
In terms of the Kibble-Zurek mechanism we reconsider the production and
evolution of the pion string in a thermal bath. Finally, we estimate the pion
string density and its possible signal during the chiral phase transition.Comment: 13 pages, 3 figures,Accepted for publication in Physical Review D.
arXiv admin note: text overlap with arXiv:1310.1600 by other author
Nucleon Properties in the Polyakov Quark Meson Model
We study the nucleon as a nontopological soliton in a quark medium as well as
in a nucleon medium in terms of the Polyakov quark meson (PQM) model with two
flavors at finite temperature and density. The constituent quark masses
evolving with the temperature at various baryon chemical potentials are
calculated and the equations of motion are solved according to the proper
boundary conditions. The PQM model predicts an increasing size of the nucleon
and a reduction of the nucleon mass in both hot environment. However, the phase
structure is different from each other in quark and nucleon mediums. There is a
crossover in the low-density region and a first-order phase transition in the
high-density region in quark medium, whereas there exists a crossover
characterized by the overlap of the nucleons in nucleon medium.Comment: 14 pages, 7 figures, Accepted for publication in Physical Review
Discord and entanglement in non-Markovian environments at finite temperature
The dynamics evolutions of discord and entanglement of two atoms in two
independent Lorentzian reservoirs at zero or finite temperature have been
investigated by using the time-convolutionless master-equation method. Our
results show that, when both the non-Markovian effect and the detuning are
present simultaneously, due to the memory and feedback effect of the
non-Markovian reservoirs, the discord and the entanglement can be effectively
protected even at nonzero temperature by increasing the non-Markovian effect
and the detuning. The discord and the entanglement have different robustness
for different initial states and their robustness may changes under certain
conditions. Nonzero temperature can accelerate the decays of discord and
entanglement and induce the entanglement sudden death.Comment: 13 pages, 6 figure
Squeezing of light field in a dissipative Jaynes-Cummings model
Based on the time-convolutionless master-equation approach, we investigate
squeezing of light field in a dissipative Jaynes-Cummings model. The results
show that squeezing light can be generated when the atom transits to a ground
state from an excited state, and then a collapse-revival phenomenon will occur
in the squeezing of light field due to atom-cavity coupling. Enhancing the
atom-cavity coupling can increase the frequency of the collapse-revival of
squeezing. The stronger the non-Markovian effect is, the more obvious the
collapse-revival phenomenon is. The oscillatory frequency of the squeezing is
dependents on the resonant frequency of the atom-cavity
Chiral soliton model at finite temperature and density
In mean field approximation, we study a chiral soliton of the linear sigma
model with two flavors at finite temperature and density. The stable soliton
solutions are calculated with some appropriate boundary conditions. Energy and
radius of the soliton are determined in a hot medium of constituent quarks. It
is found that for , the energy of the soliton is less than the
energy of three constituent quarks , but with the increasing of
temperature, the difference between and becomes smaller and
smaller, once , there is a sharp delocalization phase transition from
hadron matter to quark matter coincident with the restoration of chiral
symmetry. In the transition region, the thermodynamic properties show large
discontinuities which is an indication for a first-order phase transition.Comment: 14 pages, 7 figures, version accepted for publication in Physical
Review
Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments
Analytical solution and entanglement swapping of a double Jaynes-Cummings
model in non-Markovian environments are investigated by the timeconvolutionless
master equation method. We obtain the analytical solution of this model and
discuss in detail the influence of atom-cavity coupling, non-Markovian effect
and initial state purity on entanglement dynamics. The results show that, in
the non-Markovian environments, the entanglement between two cavities can be
swapped to other bipartite subsystems by interaction between an atom and its
own cavity. Due to the dissipation of environment, the entanglements of all
bipartite subsystems will eventually decay to zero when the atom couples weakly
to its cavity and the non-Markovian effect is also weak. All bipartite
subsystems can tend to steady entanglement states if and only if there is the
strong atom-cavity coupling or the strong non-Markovian effect. The steady
state of the subsystem composed of an atom and its own cavity is independent on
the purity but the steady states of other bipartite subsystems are dependent on
the purity.Comment: 14 pages, 9 figures
- β¦