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The effects of dissipation on the thermodynamic properties of nonlinear quantum systems are approached by the path-integral method in order to construct approximate classical-like formulas for evaluating thermal averages of thermodynamic…

Statistical Mechanics · Physics 2016-11-23 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

In a previous paper we have shown how, for bosonic fields, the generating functional in both relativistic quantum field theory and thermal field theory can be evaluated by use of a standard quantum mechanical path integral. In this paper we…

High Energy Physics - Theory · Physics 2009-10-22 D G C McKeon , a K Rebhan

We study a one-dimensional system of strongly interacting anyons with short-range interactions under external confinement. This system, referred to as $p$-wave anyons, interpolates continuously between spin-polarized fermions with $p$-wave…

Quantum Gases · Physics 2025-12-16 Ovidiu I. Patu

It is mentioned that anyon thermodynamic potential $Q(\alpha, N)$ could not be factorized in terms characteristic of the ideal boson $\alpha =0$ and fermion $\alpha =1$ gases by the relation $Q(\alpha, N) = (1-\alpha) Q(0, N_b)+ \alpha Q(1,…

Statistical Mechanics · Physics 2008-11-26 Wung-Hong Huang

Low-dimensional quantum systems can host anyons, particles with exchange statistics that are neither bosonic nor fermionic. Despite indications of a wealth of exotic phenomena, the physics of anyons in one dimension (1D) remains largely…

We develop the concept of trajectories in anyon spectra, i.e., the continuous dependence of energy levels on the kinetic angular momentum. It provides a more economical and unified description, since each trajectory contains an infinite…

High Energy Physics - Theory · Physics 2014-11-18 Stefan Mashkevich , Jan Myrheim , Kåre Olaussen , Ronald Rietman

By harnessing quantum phenomena, quantum devices have the potential to outperform their classical counterparts. Previous work has shown that a bosonic working medium can yield better performance than a fermionic medium. We expand upon this…

Statistical Mechanics · Physics 2021-06-03 Nathan M Myers , Jacob McCready , Sebastian Deffner

We investigate the dynamical evolution of strongly interacting anyons confined in a weak harmonic trap using the exact anyon-fermion mapping method. The density profiles, momentum distribution, and the reduced one-body density matrix are…

Quantum Gases · Physics 2023-06-21 Yajiang Hao

We study through a computer experiment, using the restricted path integral Monte Carlo method, a one-component fermion plasma on a sphere at finite, non-zero, temperature. We extract thermodynamic properties like the kinetic and internal…

Statistical Mechanics · Physics 2019-04-08 Riccardo Fantoni

Two-dimensional systems such as quantum spin liquids or fractional quantum Hall systems exhibit anyonic excitations that possess more general statistics than bosons or fermions. This exotic statistics makes it challenging to solve even a…

Strongly Correlated Electrons · Physics 2023-08-24 Nico Kirchner , Darragh Millar , Babatunde M. Ayeni , Adam Smith , Joost K. Slingerland , Frank Pollmann

A multilevel approach to sample the potential energy surface in a path integral formalism is proposed. The purpose is to reduce the required number of ab initio evaluations of energy and forces in ab initio path integral molecular dynamics…

Computational Physics · Physics 2014-12-22 Hua Y. Geng

Path integral Monte Carlo (PIMC) simulations are used to calculate the momentum distribution of the homogeneous electron gas at finite temperature. This is done by calculating the off-diagonal elements of the real-space density matrix,…

Statistical Mechanics · Physics 2007-05-23 B. Militzer , E. L. Pollock , D. M. Ceperley

The low-energy dynamics of two-dimensional topological matter hinges on its one-dimensional edge modes. Tunneling between fractional quantum Hall edge modes facilitates the study of anyonic statistics: it induces time-domain braiding that…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Gu Zhang , Igor Gornyi , Yuval Gefen

A kink-based path integral method, previously applied to atomic systems, is modified and used to study molecular systems. The method allows the simultaneous evolution of atomic and electronic degrees of freedom. Results for CH$_4 $, NH$_3…

Chemical Physics · Physics 2009-11-11 Randall W. Hall

We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern-Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or…

High Energy Physics - Theory · Physics 2018-04-11 Arata Yamamoto

The calculation of caloric properties such as heat capacity, Joule-Thomson coefficients and the speed of sound by classical force-field-based molecular simulation methodology has received scant attention in the literature, particularly for…

Chemical Physics · Physics 2019-03-15 William R. Smith , Jan Jirsák , Ivo Nezbeda , Weikai Qi

Experimental realizations of a variety of atomic binary Bose-Fermi mixtures have brought opportunities for studying composite quantum systems with different spin-statistics. The binary atomic mixtures can exhibit a structural transition…

Quantum Gases · Physics 2018-03-30 Tom Kim , Chih-Chun Chien

The thermal conductivity of a model for solid argon is investigated using nonequilibrium molecular dynamics methods, as well as the traditional Boltzmann transport equation approach with input from molecular dynamics calculations, both with…

Materials Science · Physics 2013-07-10 Natalia Bedoya , Jean-Louis Barrat , David Rodney

We present an exact scheme of bosonization for anyons (including fermions) in the two-dimensional manifold of the quantum Hall fluid. This gives every fractional quantum Hall phase of the electrons one or more dual bosonic descriptions. For…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Bo Yang

Work belongs to the most basic notions in thermodynamics but it is not well understood in quantum systems, especially in open quantum systems. By introducing a novel concept of work functional along individual Feynman path, we invent a new…

Statistical Mechanics · Physics 2018-07-30 Ken Funo , H. T. Quan