scholarly journals Non-unitary dynamics of Sachdev-Ye-Kitaev chain

2021 ◽  
Vol 10 (2) ◽  
Author(s):  
Chunxiao Liu ◽  
Pengfei Zhang ◽  
Xiao Chen
Keyword(s):  
Conformal Symmetry ◽  
Entangled State ◽  
One Dimensional ◽  
First Order ◽  
Large N ◽  
First Order Phase Transition ◽  
Free Fermion Model ◽  
Kitaev Model ◽  
The One ◽  
First Order Phase

We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large N limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.

FIRST ORDER PHASE TRANSITIONS, WHEN AND FROM WHERE DO THEY EMERGE? —THE CASE OF GELS

1995 ◽  
Vol 09 (07) ◽  
pp. 737-749 ◽  
Author(s):  
KEN SEKIMOTO
Keyword(s):  
Phase Transition ◽  
Transition Temperature ◽  
Transition Point ◽  
The Other ◽  
Basic Fact ◽  
Theoretical Understanding ◽  
First Order ◽  
First Order Phase Transition ◽  
The One ◽  
First Order Phase

We briefly review the recent theoretical understanding of the first order phase transition undergone by gels with an emphasis on physical concepts, deliberately excluding details of modeling and analytic methods. The density of a gel changes discontinuously at the transition point. A variety of features of the transition result from the basic fact that the inhomogeneity of the density of the gel inevitably causes shear deformation. This deformation, on the one hand, reflects the geometry of the sample and, on the other hand, may alter the transition temperature.

scholarly journals Extended Conformal Symmetry of the One-Dimensional Bose Gas

1997 ◽  
Vol 12 (29) ◽  
pp. 2153-2159 ◽  
Author(s):  
Milena Maule ◽  
Stefano Sciuto
Keyword(s):  
Cartan Subalgebra ◽  
Conformal Symmetry ◽  
Hard Core ◽  
Bose Gas ◽  
Effective Hamiltonian ◽  
Coupling Constant ◽  
Free Fermions ◽  
One Dimensional ◽  
First Order ◽  
The One

We show that the low-lying excitations of the one-dimensional Bose gas are described, at all orders in a 1/N expansion and at the first order in the inverse of the coupling constant, by an effective Hamiltonian written in terms of an extended conformal algebra, namely the Cartan subalgebra of the [Formula: see text] algebra. This enables us to construct the first interaction term which corrects the Hamiltonian of the free fermions equivalent to a hard-core boson system.

scholarly journals THE TYPE OF THE PHASE TRANSITION AND COUPLING VALUES IN λϕ4 MODEL

2012 ◽  
Vol 27 (21) ◽  
pp. 1250116 ◽  
Author(s):  
M. BORDAG ◽  
V. DEMCHIK ◽  
A. GULOV ◽  
V. SKALOZUB
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Coupling Constant ◽  
Huge Amount ◽  
Simulation Data ◽  
First Order ◽  
First Order Phase Transition ◽  
Cluster A ◽  
The One ◽  
First Order Phase

The temperature induced phase transition is investigated in the one-component scalar field ϕ4 model on the lattice. Using the GPU cluster a huge amount of Monte Carlo simulation data is collected for a wide interval of coupling values. This gives a possibility to determine the low bound on the coupling constant λ0 when the transition happens and investigate its type. We found that for the values of λ close to this bound a weak-first-order phase transition takes place. It converts into a second-order one with the increase of λ. A comparison with the results obtained in analytic and numeric calculations by other authors is given.

scholarly journals PHASE TRANSITIONS FOR A ϕ6 MODEL IN (2+1)-DIMENSIONAL CURVED SPACETIME

2003 ◽  
Vol 18 (13) ◽  
pp. 937-946 ◽  
Author(s):  
MINU JOY ◽  
V. C. KURIAKOSE
Keyword(s):  
Phase Transitions ◽  
Effective Potential ◽  
Momentum Tensor ◽  
Type I ◽  
Curved Spacetime ◽  
First Order ◽  
Spacetime Curvature ◽  
First Order Phase Transition ◽  
The One ◽  
First Order Phase

Considering a massive ϕ6 self-interacting scalar field coupled arbitrarily to a (2+1)-dimensional Bianchi type-I spacetime, we evaluate the one-loop effective potential. It is found that ϕ6 potential can be regularized in (2+1)-dimensional curved spacetime. A finite expression for the energy–momentum tensor is obtained for this model. Evaluating the finite temperature effective potential, the temperature dependence of phase transitions is studied. The crucial dependence of the phase transitions on the spacetime curvature and on the coupling to gravity is also studied. The nature of phase transitions for the present model is clarified to be first order. A first-order phase transition proceeds by nucleation of bubbles of broken phase in the background of unbroken phase.

scholarly journals $$ T\overline{T} $$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
A. Gorsky ◽  
D. Pavshinkin ◽  
A. Tyutyakina
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Order Phase Transition ◽  
Equations Of Motion ◽  
Third Order ◽  
Yang Mills ◽  
First Order ◽  
Large N ◽  
First Order Phase Transition ◽  
First Order Phase

Abstract We consider the $$ T\overline{T} $$ T T ¯ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the (A, τ) plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed.

ON THE TEMPERATURE-DEPENDENT COUPLING CONSTANT IN THE VECTOR N-COMPONENT (λφ4)D MODEL.

1998 ◽  
Vol 13 (22) ◽  
pp. 1757-1764 ◽  
Author(s):  
C. DE CALAN ◽  
A. P. C. MALBOUISSON ◽  
N. F. SVAITER
Keyword(s):  
Arbitrary Dimension ◽  
Exact Formula ◽  
Coupling Constant ◽  
Temperature Dependent ◽  
First Order ◽  
Large N ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
D Model ◽  
Thermal Part

For the massive (λφ4)D vector N-component model in the large-N limit, we investigate the thermal behavior of the coupling constant. For the Wick-ordered model we check that there is no first-order phase transition induced by the thermal renormalized coupling constant regardless of the dimension D. Moreover, for D=3 we are able to give an exact formula for the temperature behavior of the coupling constant. For the non-Wick-ordered model all the contributions from the thermal part of the tadpoles must be taken into account. We indicate how this may be done in arbitrary dimension D.

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