Zobrazeno 1 - 10
of 232
pro vyhledávání: '"Batchelor, M. T."'
Autor:
Alam, I T, Batchelor, M T
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 215201
In this paper, we explore the relationship between integrability and the discrete holomorphicity of a class of complex lattice observables in the context of the Potts dense loop model and the O(n) dilute loop model. It is shown that the conditions fo
Externí odkaz:
http://arxiv.org/abs/1402.0937
Publikováno v:
Phys. Rev. Lett. 111, 130401 (2013)
We calculate the Wilson ratio of the one-dimensional Fermi gas with spin imbalance. The Wilson ratio of attractively interacting fermions is solely determined by the density stiffness and sound velocity of pairs and of excess fermions for the two-com
Externí odkaz:
http://arxiv.org/abs/1306.5622
Publikováno v:
Phys. Rev. A 87, 043634 (2013)
The one-dimensional Lieb-Liniger Bose gas is a prototypical many-body system featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion quantum criticality. We analytically calculate finite temperature local pair correlations for th
Externí odkaz:
http://arxiv.org/abs/1211.3267
Autor:
Alam, I. T., Batchelor, M. T.
Publikováno v:
J. Phys. A 45, 494014 (2012)
It has recently been established that imposing the condition of discrete holomorphicity on a lattice parafermionic observable leads to the critical Boltzmann weights in a number of lattice models. Remarkably, the solutions of these linear equations a
Externí odkaz:
http://arxiv.org/abs/1207.3883
Publikováno v:
Phys. Rev. A 85, 043606 (2012)
Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics and criticality of one-dimensional spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytical
Externí odkaz:
http://arxiv.org/abs/1201.6456
Publikováno v:
Phys. Rev. A 86, 011605(R) (2012)
We investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we find that a p
Externí odkaz:
http://arxiv.org/abs/1111.2375
Publikováno v:
Phys. Rev. A 85, 013629 (2012)
We propose a one-dimensional model of spinor bosons with SU(2) symmetry and a two-body finite range Gaussian interaction potential. We show that the model is exactly solvable when the width of the interaction potential is much smaller compared to the
Externí odkaz:
http://arxiv.org/abs/1106.1960
Publikováno v:
Physical Review B 85, 085414 (2012)
We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the model in a
Externí odkaz:
http://arxiv.org/abs/1104.2352
Publikováno v:
J. Phys. A: Math. Theor. 44 (2011) 165002
Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general $SU(\kappa)$ fermionic system in one-dimension for both the repulsive and attractive regimes under the presenc
Externí odkaz:
http://arxiv.org/abs/1011.0128
Autor:
Guan, X. -W., Batchelor, M. T.
Publikováno v:
J. Phys. A: Math. Theor. 44, 102001 (2011)
We demonstrate that the thermodynamics of one-dimensional Lieb-Liniger bosons can be accurately calculated in analytic fashion using the polylog function in the framework of the thermodynamic Bethe ansatz. The approach does away with the need to nume
Externí odkaz:
http://arxiv.org/abs/1010.4842