scholarly journals Extracting signatures of quantum criticality in the finite-temperature behavior of many-body systems

2007 ◽  
Vol 76 (6) ◽  
Author(s):  
Alessandro Cuccoli ◽  
Alessio Taiti ◽  
Ruggero Vaia ◽  
Paola Verrucchi
Keyword(s):  
Finite Temperature ◽  
Quantum Criticality ◽  
Temperature Behavior ◽  
Many Body ◽  
Many Body Systems

scholarly journals Biorthogonal quantum criticality in non-Hermitian many-body systems

2021 ◽  
Vol 17 (3) ◽  
Author(s):  
Gaoyong Sun ◽  
Jia-Chen Tang ◽  
Su-Peng Kou
Keyword(s):  
Quantum Criticality ◽  
Many Body ◽  
Many Body Systems

Single-Particle Self-Energy in Many-Body Systems at Finite Temperature

2000 ◽  
Vol 283 (2) ◽  
pp. 308-333 ◽  
Author(s):  
N. Giovanardi ◽  
P. Donati ◽  
P.F. Bortignon ◽  
R.A. Broglia
Keyword(s):  
Single Particle ◽  
Finite Temperature ◽  
Many Body ◽  
Self Energy ◽  
Many Body Systems

scholarly journals A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Sujit Sarkar
Keyword(s):  
Imaginary Part ◽  
Quantum Criticality ◽  
Second Order ◽  
Symmetric System ◽  
Many Body ◽  
Third Order ◽  
The Real ◽  
Wide Range ◽  
Symmetric Quantum ◽  
Many Body Systems

AbstractThe Berezinskii–Kosterlitz–Thouless (BKT) mechanism governs the critical behavior of a wide range of many-body systems. We show here that this phenomenon is not restricted to conventional many body system but also for the strongly correlated parity-time (PT) symmetry quantum criticality. We show explicitly behaviour of topological excitation for the real and imaginary part of the potential are different through the analysis of second order and third order renormalization group (RG). One of the most interesting feature that we observe from our study the presence of hidden QBKT and also conventional QBKT for the real part of the potential whereas there is no such evidence for the imaginary part of the potential. We also present the exact solution for the RG flow lines. We show explicitly how the physics of single field double frequencies sine-Gordon Hamiltonian effectively transform to the dual field double frequencies sine-Gordon Hamiltonian for a certain regime of parameter space. This is the first example in any quantum many body systems. We present the results of second order and third order RG flow results explicitly for the real and imaginary part of the potential. This PT symmetric system can be experimentally tested in ultra-cold atoms. This work provides a new perspective for the PT symmetric quantum criticality.

scholarly journals Finite-temperature fluid–insulator transition of strongly interacting 1D disordered bosons

2016 ◽  
Vol 113 (31) ◽  
pp. E4455-E4459 ◽  
Author(s):  
Vincent P. Michal ◽  
Igor L. Aleiner ◽  
Boris L. Altshuler ◽  
Georgy V. Shlyapnikov
Keyword(s):  
Finite Temperature ◽  
Weak Interactions ◽  
Interaction Strength ◽  
Insulator Transition ◽  
Temperature Behavior ◽  
Many Body ◽  
One Dimensional ◽  
Strongly Interacting ◽  
Full Picture ◽  
The Many

We consider the many-body localization–delocalization transition for strongly interacting one-dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two insulator–fluid transitions at any finite temperature when varying the interaction strength. At weak interactions, an increase in the interaction strength leads to insulator → fluid transition, and, for large interactions, there is a reentrance to the insulator regime. It is feasible to experimentally verify these predictions by tuning the interaction strength with the use of Feshbach or confinement-induced resonances, for example, in 7Li or 39K.

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