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A recent experimental realization of quantum degenerate gas of $^{40}$K$^{87}$Rb molecules opens up prospects of exploring strong dipolar Fermi gases and many-body phenomena arising in that regime. Here we derive a mean-field variational…

Quantum Gases · Physics 2019-08-21 Vladimir Veljic , Axel Pelster , Antun Balaz

Warm dense matter is one of the most active frontiers in plasma physics due to its relevance for dense astrophysical objects as well as for novel laboratory experiments in which matter is being strongly compressed e.g. by high-power lasers.…

In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a…

General Relativity and Quantum Cosmology · Physics 2025-08-21 João Gabriel Galli Gimenez , Dimiter Hadjimichef , Peter O. Hess , Marcelo Netz-Marzola , César A. Zen Vasconcellos

We present closed analytical expressions for the particle and kinetic energy spatial densities at finite temperatures for a system of noninteracting fermions (bosons) trapped in a d-dimensional harmonic oscillator potential. For d=2 and 3,…

Statistical Mechanics · Physics 2009-11-07 Brandon P. van Zyl , Rajat K. Bhaduri , Akira Suzuki , Matthias Brack

We discuss the occurrence of gravitational phase transitions and instabilities in a gas of self-gravitating fermions within the framework of general relativity. In the classical (nondegenerate) limit, the system undergoes a gravitational…

General Relativity and Quantum Cosmology · Physics 2020-02-11 Pierre-Henri Chavanis , Giuseppe Alberti

Atom-ion hybrid systems are promising platforms for the quantum simulation of polaron physics in certain quantum materials. Here, we investigate the ionic Fermi polaron, a charged impurity in a polarized Fermi bath, at zero temperature…

Quantum Gases · Physics 2024-12-04 Renato Pessoa , S. A Vitiello , L. A Peña Ardila

In recent years Quantum Monte Carlo techniques provided to be a valuable tool to study strongly interacting Fermi gases at zero temperature. We have used QMC methods to investigate several properties of the two-components Fermi gas at…

Quantum Gases · Physics 2015-06-18 Stefano Gandolfi

We propose a method to study the degeneracy of a trapped atomic gas of fermions through the relaxation of the motion of a test particle. In the degenerate regime, and for an energy of the test particle well below the Fermi energy, we show…

Statistical Mechanics · Physics 2009-10-31 Gabriele Ferrari

The Feynman quantum-classical isomorphism between classical statistical mechanics in 3+1 dimensions and quantum statistical mechanics in 3 dimensions is used to connect classical polymer self-consistent field theory with quantum…

Quantum Physics · Physics 2021-11-30 Russell B. Thompson

We propose an experimental scheme to simulate the fractionalization of particle number by using a one-dimensional spin-orbit coupled ultracold fermionic gas. The wanted spin-orbit coupling, a kink-like potential, and a…

Quantum Gases · Physics 2012-12-19 Dan-Wei Zhang , L. -B. Shao , Zheng-Yuan Xue , Hui Yan , Z. D. Wang , Shi-Liang Zhu

Using exact diagonalizations and Green's function Monte Carlo simulations, we have studied the zero-temperature properties of the quantum dimer model on the triangular lattice on clusters with up to 588 sites. A detailed comparison of the…

Strongly Correlated Electrons · Physics 2009-11-11 Arnaud Ralko , Michel Ferrero , Federico Becca , Dmitri Ivanov , Frederic Mila

Quantum gravity effects in effective models of loop quantum gravity, such as loop quantum cosmology, are encoded in the choice of so-called polymerisation schemes. Physical viability of the models, such as an onset of quantum effects at…

General Relativity and Quantum Cosmology · Physics 2021-07-02 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

We derive stationary measures for certain zero-temperature random polymer models, which we believe are new in the case of the zero-temperature limit of the beta random polymer (that has been called the river delta model). To do this, we…

Probability · Mathematics 2026-04-15 David A. Croydon , Makiko Sasada

We study the fermionic King model which may provide a relevant model of dark matter halos. The exclusion constraint can be due to quantum mechanics (for fermions such as massive neutrinos) or to Lynden-Bell's statistics (for collisionless…

Astrophysics of Galaxies · Physics 2014-11-25 Pierre-Henri Chavanis , Mohammed Lemou , Florian Méhats

We study a classical model of thermally fluctuating polymers confined to two dimensions, experiencing a grooved periodic potential, and subject to pulling forces both along and transverse to the grooves. The equilibrium polymer…

Soft Condensed Matter · Physics 2023-01-12 Abhijeet Melkani , Alexander Patapoff , Jayson Paulose

The q-deformed statistical mechanics for fermions has been used to investigate the Thomas-Fermi screening length at finite temperature. Considering linear response, the calculations have been made at weakly nondegenerate regime. The results…

Statistical Mechanics · Physics 2024-05-28 Mohammad Mohammadi Sabet

A common technique in the study of complex quantum-mechanical systems is to reduce the number of degrees of freedom in the Hamiltonian by using quasi-degenerate perturbation theory. While the Schrieffer--Wolff transformation achieves this…

Quantum Physics · Physics 2025-02-19 Isidora Araya Day , Sebastian Miles , Hugo K. Kerstens , Daniel Varjas , Anton R. Akhmerov

The impact of polymer-polymer interactions of various types on the thermodynamics, structure, and accommodation of topological constraints is addressed for systems comprising many directed polymers in two spatial dimensions. The approach is…

Soft Condensed Matter · Physics 2013-07-04 D. Zeb Rocklin , Paul M. Goldbart

We investigate the properties of an impurity immersed in an ensemble of spin-polarized fermions confined in a tight quantum wire. We use a non-perturbative variational approach that accounts for virtual transverse excitations and…

Quantum Gases · Physics 2025-09-08 Lovro Anto Barišić , Giuliano Orso , Frédéric Chevy , Kris Van Houcke

I review the properties of degenerate fermion balls and investigate the dark matter distribution at galactic centers using NFW, Moore and isothermal density profiles. I show that dark matter becomes degenerate for particles masses of a few…

Astrophysics · Physics 2016-11-15 Faustin Munyaneza