Time correlation functions and Fisher zeros for q-deformed Bose gas

被引：5

作者：

Gnatenko, Kh P. ^{[1
]}

Kargol, A. ^{[2
]}

Tkachuk, V. M. ^{[1
]}

机构：

[1] Ivan Franko Natl Univ Lviv, Dept Theoret Phys, 12 Drahomanov St, UA-79005 Lvov, Ukraine

[2] Uniwersytet Marii Curie Sklodowskiej, Inst Matematyki, PL-20031 Lublin, Poland

来源：

EPL | 2017年 / 120卷 / 03期

关键词：

PARTITION-FUNCTION ZEROS; PHASE-TRANSITIONS; HARMONIC-OSCILLATOR; COHERENT STATES; DENSITY; THEOREM; MODEL;

D O I：

10.1209/0295-5075/120/30004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The time-dependent correlation functions of the q-deformed Bose gas are studied. We find the relation of zeros of the correlation functions with the Fisher zeros of the partition function of the system. The complex temperature appears as a result of q-defonnation and evolution of the correlation function. A particular case of q-deformed Bose particles on two levels is examined and the zeros of correlation functions and Fisher zeros of the partition function are analyzed. Copyright (C) EPLA, 2018

引用

页数：6

共 46 条

[1] HILBERT SPACES OF ANALYTIC-FUNCTIONS AND GENERALIZED COHERENT STATES [J].

ARIK, M ;

COON, DD .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (04) :524-527

[2] RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass [J].

Batouli, J. ;

El Baz, M. ;

Maaouni, A. .

PHYSICS LETTERS A, 2015, 379 (28-29) :1619-1626

[3] Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions [J].

Bhaduri, R. K. ;

MacDonald, A. ;

van Dijk, W. .

EPL, 2011, 96 (05)

[4] Density of zeros on the Lee-Yang circle obtained from magnetization data of a two-dimensional Ising ferromagnet [J].

Binek, C .

PHYSICAL REVIEW LETTERS, 1998, 81 (25) :5644-5647

[5] Quantum deformations of D=4 Lorentz algebra revisited: twistings of q-deformation [J].

Borowiec, A. ;

Lukierski, J. ;

Tolstoy, V. N. .

EUROPEAN PHYSICAL JOURNAL C, 2008, 57 (03) :601-611

[6] Classification of phase transitions in small systems [J].

Borrmann, P ;

Mülken, O ;

Harting, J .

PHYSICAL REVIEW LETTERS, 2000, 84 (16) :3511-3514

[7] On (p, q; α, β, l)-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra [J].

Burban, I. M. .

PHYSICS LETTERS A, 2007, 366 (4-5) :308-314

[8] Thermodynamics of a deformed Bose gas [J].

Chang, Z ;

Chen, SX .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (46) :9731-9743

[9] FRACTAL STRUCTURE OF ZEROS IN HIERARCHICAL-MODELS [J].

DERRIDA, B ;

DESEZE, L ;

ITZYKSON, C .

JOURNAL OF STATISTICAL PHYSICS, 1983, 33 (03) :559-569

[10] Noncommutative q-photon-added coherent states [J].

Dey, Sanjib ;

Hussin, Veronique .

PHYSICAL REVIEW A, 2016, 93 (05)

← 1 2 3 4 5 →