Path integral molecular dynamics for anyons, bosons and fermions

• URL: http://arxiv.org/abs/2207.11252v1
• Date: Fri, 22 Jul 2022 03:07:57 GMT
• Title: Path integral molecular dynamics for anyons, bosons and fermions
• Authors: Xiong Yunuo, Xiong Hongwei
• Abstract summary: We provide a unified method to calculate the thermodynamics of identical bosons, fermions and anyons. Our method is tested and applied to systems of anyons, bosons and fermions in a two-dimensional harmonic trap.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this article we develop a general method to numerically calculate physical properties for a system of anyons with path integral molecular dynamics. We provide a unified method to calculate the thermodynamics of identical bosons, fermions and anyons. Our method is tested and applied to systems of anyons, bosons and fermions in a two-dimensional harmonic trap. We also consider a method to calculate the energy for fermions as an application of the path integral molecular dynamics to simulate the anyon model.

Related papers

• Self-energy correction to energy levels of highly charged ions in a path integral formalism [0.17404865362620806]
  We arrive at the full fermion propagator, using methods of functional integrals, in the form of Schwinger-Dyson equation (SDE) From the full fermion SDE, the self-energy corrected propagator is identified and the energy shift is obtained from the poles of the spectral function.
  arXiv  Detail & Related papers  (2023-09-27T11:45:18Z)
• Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
  We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
  arXiv  Detail & Related papers  (2023-06-14T16:29:18Z)
• Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors [50.893896302254944]
  We introduce a general method to map the Hamiltonian of an arbitrary model system into the Hamiltonian of a circuit Quantum Electrodynamics (cQED) processor. The method is illustrated as applied to quantum dynamics simulations of the Fenna-Matthews-Olson complex and the spin-boson model of charge transfer.
  arXiv  Detail & Related papers  (2023-06-10T04:52:58Z)
• Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap [0.0]
  We solve the problem of two fermion pairs numerically using the so-called ''coboson formalism'' This allows us to explore the strongly bound regime, approaching the limit of infinite attraction in which the composite particles behave as hard-core bosons.
  arXiv  Detail & Related papers  (2023-01-09T19:20:00Z)
• Parametrized path integral formulation for large fermion systems [0.0]
  We build upon the recently discovered fictitious particle model to investigate the fermion sign problem further. For the valid region of our method, our simulation shows that we may give accurate prediction of the energy for large fermion systems.
  arXiv  Detail & Related papers  (2022-08-29T09:39:05Z)
• Path integral molecular dynamics for thermodynamics and Green's function of ultracold spinor bosons [0.0]
  The path integral molecular dynamics is developed to simulate the thermodynamics, Green's function and momentum distribution of two-component bosons in three dimensions. We consider the thermodynamics of up to sixteen bosons in a three-dimensional harmonic trap. We believe this simulation result can be tested by ultracold spinor bosons with optical lattices and magnetic-field Feshbach resonance to tune the inter-particle interaction.
  arXiv  Detail & Related papers  (2022-07-15T08:31:13Z)
• On the thermodynamic properties of fictitious identical particles and the application to fermion sign problem [0.0]
  We consider the finite-temperature thermodynamic properties of fictitious identical particles with a real parameter $xi$ interpolating continuously between bosons and fermions. Our work provides a chance to circumvent the fermion sign problem for some quantum systems.
  arXiv  Detail & Related papers  (2022-05-27T02:50:30Z)
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes [55.41644538483948]
  We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
  arXiv  Detail & Related papers  (2021-08-25T13:40:42Z)
• Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
  We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
  arXiv  Detail & Related papers  (2021-05-20T14:46:09Z)
• Molecular Interactions Induced by a Static Electric Field in Quantum Mechanics and Quantum Electrodynamics [68.98428372162448]
  We study the interaction between two neutral atoms or molecules subject to a uniform static electric field. Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
  arXiv  Detail & Related papers  (2021-03-30T14:45:30Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.