scholarly journals Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
Daniele Trapin ◽  
Jad C. Halimeh ◽  
Markus Heyl
Keyword(s):  
Phase Transitions ◽  
Critical Exponents ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Ising Chain

Experimentally detecting dynamical quantum phase transitions in a slowly quenched Ising-chain model

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Zhe Chen ◽  
Jin-Ming Cui ◽  
Ming-Zhong Ai ◽  
Ran He ◽  
Yun-Feng Huang ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Chain Model ◽  
Ising Chain

scholarly journals Local measures of entanglement and critical exponents at quantum phase transitions

2006 ◽  
Vol 73 (1) ◽  
Author(s):  
L. Campos Venuti ◽  
C. Degli Esposti Boschi ◽  
M. Roncaglia ◽  
A. Scaramucci
Keyword(s):  
Phase Transitions ◽  
Critical Exponents ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Spherical model and quantum phase transitions

2021 ◽  
Vol 2094 (2) ◽  
pp. 022027
Author(s):  
V N Udodov
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Critical Temperature ◽  
Critical Exponents ◽  
Quantum Phase Transitions ◽  
Dimensional Space ◽  
Spherical Model ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Epsilon Expansion

Abstract The spherical Berlin-Katz model is considered in the framework of the epsilon expansion in one-dimensional and two-dimensional space. For the two-dimensional and threedimensional cases in this model, an exact solution was previously obtained in the presence of a field, and for the two-dimensional case the critical temperature is zero, that is, a “quantum” phase transition is observed. On the other hand, the epsilon expansion of critical exponents with an arbitrary number of order parameter components is known. This approach is consistent with the scaling paradigm. Some critical exponents are found for the spherical model in one-and twodimensional space in accordance with the generalized scaling paradigm and the ideas of quantum phase transitions. A new formula is proposed for the critical heat capacity exponent, which depends on the dynamic index z, at a critical temperature equal to zero. An expression is proposed for the order of phase transition with a change in temperature (developing the approach of R. Baxter), which also depends on the z index. An interpolation formula is presented for the effective dimension of space, which is valid for both a positive critical temperature and a critical temperature equal to zero. This formula is general. Transitions with a change in the field in a spherical model at absolute zero are also considered.

RIGOROUS RESULTS FOR THE QUANTUM PHASE TRANSITIONS IN A DIMERIZED S = 1 ISING LATTICE

2007 ◽  
Vol 22 (07n10) ◽  
pp. 727-731 ◽  
Author(s):  
HAINA WU ◽  
ZHIHUA YANG ◽  
JIANHUI DAI ◽  
HEPING YING
Keyword(s):  
Phase Transitions ◽  
Critical Points ◽  
Ground State ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Ising Chain ◽  
Ising Lattice ◽  
Rigorous Results ◽  
Crystal Fields ◽  
Transverse Fields

We examine the ground state properties of a dimerized ferromagnetic S = 1 Ising chain with single-ion crystal fields by mapping the model onto the dimerized S = 1/2 Ising chain with transverse fields. We show that the system exhibits a series of Ising transitions depending on the dimerization strength of the crystal fields, while the critical points can be determined exactly.

Quantum phase transitions

2004 ◽  
Vol 174 (8) ◽  
pp. 853 ◽  
Author(s):  
Sergei M. Stishov
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase
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