3He DIMERS IN TWO-DIMENSIONAL 3He-4He MIXTURE FILMS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1605-1608
Author(s):  
M. SAARELA ◽  
J. PAASO ◽  
E. KROTSCHECK ◽  
K. SCHÖRKHUBER
Keyword(s):  
Ground State ◽  
Stability Limit ◽  
Second Derivative ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Maximum Solubility ◽  
Weakly Bound ◽  
Chemical Potentials ◽  
Saturated Mixture ◽  
Fluctuation Mode

We have studied the ground state properties of two-dimensional 3 He -4 He mixtures at zero temperature. 3 He atoms with opposite spins form loosely bound dimers in free space and in low concentration mixtures with 4 He . The binding energy of the dimer ranges from milli-Kelvins near the saturation density to micro-Kelvins at the solidification density. The radius of such a weakly bound dimer is tens of Ångstöms. We also calculate the phase diagram of the mixture. The maximum solubility of 3 He ≈7% is determined by comparing chemical potentials in the pure and mixed fluids. The upper stability limit of the super-saturated mixture is obtained from the second derivative of the enthalpy. It becomes negative at the concentration 10-15% depending of the pressure, indicating a softening of the concentration-fluctuation mode. We also find an indication of the phase transition from the dimerized to atomic mixture.

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

scholarly journals TWO-DIMENSIONAL BOSE GAS AT LOW DENSITY

1993 ◽  
Vol 07 (15) ◽  
pp. 1029-1038 ◽  
Author(s):  
A.A. OVCHINNIKOV
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Scattering Length ◽  
Three Dimensional ◽  
Bose Gas ◽  
Dimensional System ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Three Dimensional System

We propose a new method to describe the interacting bose gas at zero temperature. For three-dimensional system, the correction to the ground state energy in density is reproduced. For the two-dimensional dilute bose gas, the ground state energy in the leading order in the parameter | ln α2ρ|−1, where α is a two-dimensional scattering length, is obtained.

LOWEST-ORDER CONSTRAINED VARIATIONAL CALCULATIONS FOR TWO-DIMENSIONAL LIQUID 3He

2013 ◽  
Vol 12 (07) ◽  
pp. 1350061 ◽  
Author(s):  
G. H. BORDBAR ◽  
F. FATEMI ◽  
M. T. MOHAMADI SABET
Keyword(s):  
Total Energy ◽  
Cluster Expansion ◽  
Ground State ◽  
Bound State ◽  
Energy Functional ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Lennard Jones ◽  
Pair Potentials ◽  
Variational Calculations

We have used the lowest-order constrained variational (LOCV) method based on the cluster expansion of the energy functional to calculate some ground state properties of two-dimensional liquid 3 He at zero temperature employing the Lennard-Jones and Aziz pair potentials. We have seen that the total energy increases by increasing density. It is shown that the two-dimensional liquid 3 He system has no self-bound state.

scholarly journals Ground-State Properties of Bosons in Three- and Two-Dimensional Traps

1998 ◽  
Vol 12 (21) ◽  
pp. 2129-2138 ◽  
Author(s):  
Augusto Gonzalez ◽  
Aurora Perez
Keyword(s):  
Total Energy ◽  
Strong Coupling ◽  
Ground State ◽  
Chemical Potential ◽  
Scattering Length ◽  
Two Dimensions ◽  
Series Expansions ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Ground State Properties

We study trapped systems of bosons at zero temperature in three and two dimensions. Conditions are fulfilled for the application of Gross–Pitaevskii theory with a positive scattering length. Series expansions for ground-state properties are obtained in both the noninteracting and the strong-coupling (Thomas–Fermi) limits. From these expansions, analytic estimates are presented in the form of two-point Padé approximants. We explicitly show the approximants for the total energy per particle and the chemical potential.

Spin-Singlet Ground State in Two-Dimensional S=1/2 Frustrated Square Lattice: (CuCl)LaNb2O7

2005 ◽  
Vol 74 (6) ◽  
pp. 1702-1705 ◽  
Author(s):  
H. Kageyama ◽  
T. Kitano ◽  
N. Oba ◽  
M. Nishi ◽  
S. Nagai ◽  
...  
Keyword(s):  
Ground State ◽  
Square Lattice ◽  
Singlet Ground State ◽  
Two Dimensional ◽  
Spin Singlet
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