Casimir effect for fermions on the lattice
- URL: http://arxiv.org/abs/2301.08002v1
- Date: Thu, 19 Jan 2023 11:01:20 GMT
- Title: Casimir effect for fermions on the lattice
- Authors: Katsumasa Nakayama and Kei Suzuki
- Abstract summary: We show that the Casimir effect for the Wilson fermion is similar to that for the continuous Dirac fermion.
We also study contributions from Landau levels under magnetic fields and the Casimir effect for nonrelativistic particle fields on the lattice.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The conventional Casimir effect has been studied in the continuous spacetime,
but to elucidate its counterpart in the lattice space is an important subject.
Here, we discuss various types of Casimir effects for quantum fields on the
lattice. By using a definition of the Casimir energy on the lattice, we show
that the Casimir effect for the Wilson fermion is similar to that for the
continuous Dirac fermion. We apply our definition to an effective Hamiltonian
describing Dirac semimetals, such as Cd$_{3}$As$_{2}$ and Na$_{3}$Bi, and find
an oscillatory behavior of the Casimir energy as a function of film thickness
of semimetals. We also study contributions from Landau levels under magnetic
fields and the Casimir effect for nonrelativistic particle fields on the
lattice.
Related papers
- Casimir effect in magnetic dual chiral density waves [0.0]
We theoretically investigate the Casimir effect originating from Dirac fields in finite-density matter under a magnetic field.
In particular, we focus on quark fields in the magnetic dual chiral density wave (MDCDW) phase as a possible inhomogeneous ground state of interacting Dirac-fermion systems.
arXiv Detail & Related papers (2024-11-18T19:00:02Z) - Lifshitz formulas for finite-density Casimir effect [0.0]
We generalize the Lifshitz formula to investigate the Casimir effect at finite temperature.
We discuss the typical phenomena of the Casimir effect at finite chemical potential in various systems.
This formula can be applied to the Casimir effect in dense quark matter and Dirac/Weyl semimetals.
arXiv Detail & Related papers (2024-08-15T19:04:23Z) - Casimir Physics beyond the Proximity Force Approximation: The Derivative
Expansion [49.1574468325115]
We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA)
We focus on different particular geometries, boundary conditions, types of fields, and quantum and thermal fluctuations.
arXiv Detail & Related papers (2024-02-27T19:56:52Z) - Casimir effect in axion electrodynamics with lattice regularizations [0.0]
The Casimir effect is induced by the interplay between photon fields and boundary conditions.
We propose a theoretical approach to derive the Casimir effect in axion electrodynamics.
arXiv Detail & Related papers (2023-10-27T12:29:01Z) - Efficient Reduction of Casimir Forces by Self-assembled Bio-molecular
Thin Films [62.997667081978825]
Casimir forces, related to London-van der Waals forces, arise if the spectrum of electromagnetic fluctuations is restricted by boundaries.
We experimentally investigate the influence of self-assembled molecular bio and organic thin films on the Casimir force between a plate and a sphere.
We find that molecular thin films, despite being a mere few nanometers thick, reduce the Casimir force by up to 14%.
arXiv Detail & Related papers (2023-06-28T13:44:07Z) - Nonperturbative Casimir effects: Vacuum structure, Confinement, and
Chiral Symmetry Breaking [91.3755431537592]
We consider phase properties of confining gauge theories and strongly interacting fermion systems.
In particular, the chiral and deconfinement phase transitions properties in the presence of Casimir plates.
arXiv Detail & Related papers (2022-08-06T07:39:36Z) - Dirac/Weyl-node-induced oscillating Casimir effect [0.0]
The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system.
We show the typical properties of the Casimir effect for relativistic electron fields in Dirac/Weyl semimetals.
We find an oscillation of the Casimir energy as a function of the thickness of the thin film, which stems from the existence of Dirac/Weyl nodes in momentum space.
arXiv Detail & Related papers (2022-07-28T13:33:54Z) - Remnants of the nonrelativistic Casimir effect on the lattice [0.0]
We investigate the Casimir effect for various dispersion relations on the lattice.
We find that Casimir effects for dispersions proportional to an even power of momentum are absent in a long distance but a remnant of the Casimir effect survives in a short distance.
Such a remnant Casimir effect will be experimentally observed in materials with quantum fields on the lattice, such as thin films, narrow nanoribbons, and short nanowires.
arXiv Detail & Related papers (2022-04-26T02:06:30Z) - Interplay between optomechanics and the dynamical Casimir effect [55.41644538483948]
We develop a model of a quantum field confined within a cavity with a movable wall where the position of the wall is quantized.
We obtain a full description of the dynamics of both the quantum field and the confining wall depending on the initial state of the whole system.
arXiv Detail & Related papers (2022-04-22T14:27:30Z) - The quantum Otto cycle in a superconducting cavity in the non-adiabatic
regime [62.997667081978825]
We analyze the efficiency of the quantum Otto cycle applied to a superconducting cavity.
It is shown that, in a non-adiabatic regime, the efficiency of the quantum cycle is affected by the dynamical Casimir effect.
arXiv Detail & Related papers (2021-11-30T11:47:33Z) - The Neutrino Casimir Force [77.34726150561087]
We calculate the neutrino Casimir force between plates, allowing for two different mass eigenstates within the loop.
We discuss the possibility of distinguishing whether neutrinos are Majorana or Dirac fermions using these quantum forces.
arXiv Detail & Related papers (2020-03-24T18:00:02Z)
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.