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The antiferromagnetic $J_1-J_2$ model is a spin-1/2 chain with isotropic exchange $J_1 > 0$ between first neighbors and $J_2 = \alpha J_1$ between second neighbors. The model supports both gapless quantum phases with nondegenerate ground…

Strongly Correlated Electrons · Physics 2021-06-29 Sudip Kumar Saha , Manodip Routh , Manoranjan Kumar , Zoltán G. Soos

One of the most important applications of quantum mechanics is the thermodynamic description of quantum gases. Despite the fundamental importance of this topic, a comprehensive description of the thermodynamic properties of non-Hermitian…

Quantum Gases · Physics 2022-11-08 R. Arouca , E. C. Marino , C. Morais Smith

Recently the authors have developed an effective field theory formalism to systematically describe cold fermionic gases near the unitary limit. The theory has enhanced predictive power due to the fact that interactions are dominated by the…

Quantum Gases · Physics 2024-09-30 Shashin Pavaskar , Ira Z. Rothstein

We report measurements of in-plane electrical and thermal transport properties in the limit $T \rightarrow 0$ near the unconventional quantum critical point in the heavy-fermion metal $\beta$-YbAlB$_4$. The high Kondo temperature $T_K$…

Strongly Correlated Electrons · Physics 2015-07-29 M. L. Sutherland , E. C. T. O'Farrell , W. H. Toews , J. Dunn , K. Kuga , S. Nakatsuji , Y. Machida , K. Izawa , R. W. Hill

We derive a quantum theory of evaporative cooling for a degenerate Fermi gas with two constituents and show that the optimum cooling trajectory is influenced significantly by the quantum statistics of the particles. The cooling efficiency…

Condensed Matter · Physics 2009-10-31 M. J. Holland , B. DeMarco , D. S. Jin

In this work we examine the breathing mode of a strongly interacting two-dimensional Fermi gas and the role of temperature on the anomalous breaking of scale invariance. By calculating the equation of state with different many-body…

Quantum Gases · Physics 2018-05-23 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

In this paper, we investigate the thermodynamics especially the Joule-Thomson expansion of the $n$-dimensional FRW (Friedmann-Robertson-Walker) universe with a perfect fluid. We derive the thermodynamic equations of state $P=P(V, T)$ for…

General Relativity and Quantum Cosmology · Physics 2025-09-29 Haximjan Abdusattar , Shi-Bei Kong , Minawar Omar , Zhong-Wen Feng

In this paper, we study the chaotic behavior of the unitary Fermi gas in both high and low temperature limits by calculating the Quantum Lyapunov exponent defined in terms of the out-of-time-order correlator. We take the method of…

Quantum Gases · Physics 2019-09-04 Pengfei Zhang

In the paper, we study the thermodynamic and electromagnetic properties of the Penson-Kolb (PK) model, i.e., the tight-binding model for fermionic particles with the pair-hopping interaction $J$. We focus on the case of repulsive $J$ (i.e.,…

Superconductivity · Physics 2021-11-05 Wojciech R. Czart , Konrad J. Kapcia , Roman Micnas , Stanisław Robaszkiewicz

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

We obtain an analytical equation of state for one-dimensional strongly attractive Fermi gas for all parameter regime in current experiments. From the equation of state we derive universal scaling functions that control whole thermodynamical…

Quantum Gases · Physics 2015-05-20 Xiwen Guan , Tin-Lun Ho

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

Quantum Gases · Physics 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

We develop a non-Hermitian effective theory for a repulsively interacting Fermi gas in the excited branch. The on-shell $T$-matrix is employed as a complex-valued interaction term, which describes a repulsive interaction between atoms in…

Quantum Gases · Physics 2021-01-14 Hiroyuki Tajima , Kei Iida

Due to significant progress in quantum gas microscopy in recent years, there is a rapidly growing interest in real-space properties of single mobile dopands created in correlated antiferromagnetic (AFM) Mott insulators. However, a detailed…

Quantum Gases · Physics 2025-04-11 Toni Guthardt , Markus Scheb , Jan von Delft , Fabian Grusdt , Annabelle Bohrdt

We investigate the electromagnetic response of a relativistic Fermi gas at finite temperatures. Our theoretical results are first-order in the fine-structure constant. The electromagnetic permittivity and permeability are introduced via…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 E. Reyes-Gómez , L. E. Oliveira , C. A. A. de Carvalho

While quantum turbulence has been addressed both experimentally (predominantly for superfluid $^4$He and $^3$He) and theoretically, the dynamics of various ensembles of quantized vortices was followed in time only until the vortices decay…

Quantum Gases · Physics 2024-10-04 A. Bulgac , M. Kafker , I. Abdurrahman , G. Wlazlowski

We study the statistics of the kinetic (or equivalently potential) energy for $N$ non-interacting fermions in a $1d$ harmonic trap of frequency $\omega$, at finite temperature $T$. Remarkably, we find an exact solution for the full…

Statistical Mechanics · Physics 2018-09-27 Jacek Grela , Satya N. Majumdar , Gregory Schehr

We investigate the sensitivity of an ion sensor in determining the temperature of an atomic Fermi gas. Our study extends to charged impurities the proposal by M. T. Mitchison et al. Phys. Rev. Lett. 125, 080402 (2020), where atomic neutral…

Quantum Gases · Physics 2022-04-26 Lorenzo Oghittu , Antonio Negretti

Thermodynamic properties of the electron-positron plasma (or gas) at high and very high temperatures are investigated. To achieve this goal we have derived a number of analytical formulas for the Fermi-Dirac distribution functions (or…

Plasma Physics · Physics 2023-01-16 Alexei M. Frolov
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