Dispersion relation of a polaron in the Yang-Gaudin Bose gas
- URL: http://arxiv.org/abs/2111.10421v2
- Date: Thu, 3 Feb 2022 06:47:59 GMT
- Title: Dispersion relation of a polaron in the Yang-Gaudin Bose gas
- Authors: Zoran Ristivojevic
- Abstract summary: We study a one-dimensional Bose gas with two internal states described by the Yang-Gaudin model.
We calculate analytically the dispersion relation of a polaron quasiparticle, which is the lowest excitation branch.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study a one-dimensional Bose gas with two internal states described by the
Yang-Gaudin model and calculate analytically the dispersion relation of a
polaron quasiparticle, which is the lowest excitation branch. We study the
dispersion in the thermodynamic limit in the regimes of weak and strong
interaction without limitations on the momentum. At weak interaction the
polaron dispersion is in the vicinity of the dark soliton one; we calculate the
leading deviation in the parametric form. At strong interaction we find an
ansatz for the explicit form of the polaron dispersion. It has the form of a
power series of the sine function of the momentum with interaction-dependent
coefficients. By increasing the power of the series, the corresponding
coefficients show faster decay and thus one practically needs only a few of
them; we give the results for the first three. The coefficients of the series
are connected to the Maclaurin series of the polaron dispersion and thus it is
sufficient to calculate latter quantity to automatically find the power series
result for the dispersion at all momenta. The derived results for the
dispersion can be used to obtain explicit expressions for the exponents of the
power-law singularities in the response functions at the spectral edge.
Related papers
- Emergence of superradiance in dissipative dipolar-coupled spin systems [0.0]
This work shows that dissipative dipolar-coupled systems exhibit an identical collective dissipation aided by the nonsecular part of the dipolar coupling.
Our results agree well with the standard results of pure spin superradiance observed experimentally in various systems.
arXiv Detail & Related papers (2024-06-13T13:29:07Z) - Fermionization and collective excitations of 1D polariton lattices [0.0]
We show that the hallmarks of correlation and fermionization in a one-dimensional exciton-polaritons gas can be observed with state-of-the-art technology.
Our work encourages future experiments aimed at observing, for the first time, strongly correlated exciton-polariton physics.
arXiv Detail & Related papers (2024-05-03T17:09:12Z) - Energetics of the dissipative quantum oscillator [22.76327908349951]
We discuss some aspects of the energetics of a quantum Brownian particle placed in a harmonic trap.
Based on the fluctuation-dissipation theorem, we analyze two distinct notions of thermally-averaged energy.
We generalize our analysis to the case of the three-dimensional dissipative magneto-oscillator.
arXiv Detail & Related papers (2023-10-05T15:18:56Z) - Quantum field theoretical framework for the electromagnetic response of
graphene and dispersion relations with implications to the Casimir effect [0.0]
The spatially nonlocal response functions of graphene are considered in the areas of both the on-the-mass-shell and off-the-mass-shell waves.
For the transverse permittivity, the form of an additional term arising in the dispersion relations due to the presence of a double pole is found.
arXiv Detail & Related papers (2023-05-26T09:24:47Z) - Dilute neutron star matter from neural-network quantum states [58.720142291102135]
Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity.
We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
arXiv Detail & Related papers (2022-12-08T17:55:25Z) - On the Su-Schrieffer-Heeger model of electron transport: low-temperature
optical conductivity by the Mellin transform [62.997667081978825]
We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain.
Our goal is to show vias how the interband conductivity of this system behaves as the smallest energy bandgap tends to close.
arXiv Detail & Related papers (2022-09-26T23:17:39Z) - In-Gap Band Formation in a Periodically Driven Charge Density Wave
Insulator [68.8204255655161]
Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium.
We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
arXiv Detail & Related papers (2022-05-19T13:28:47Z) - Attractive trion-polariton nonlinearity due to Coulomb scattering [19.444636864515726]
nonlinear interaction between trion-polaritons is attractive, and is fivefold stronger than exciton-polariton interaction.
Our work describes the regime where trion-polaritons offer the prospects for attractive fluids of light in monolayers of transition metal dichalcogenides.
arXiv Detail & Related papers (2022-04-01T17:36:11Z) - Regularized Zero-Range Hamiltonian for a Bose Gas with an Impurity [77.34726150561087]
We study the Hamiltonian for a system of N identical bosons interacting with an impurity.
We introduce a three-body force acting at short distances.
The effect of this force is to reduce to zero the strength of the zero-range interaction between two particles.
arXiv Detail & Related papers (2022-02-25T15:34:06Z) - Light-matter interactions near photonic Weyl points [68.8204255655161]
Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point.
We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
arXiv Detail & Related papers (2020-12-23T18:51:13Z) - Anisotropic Stark shift, field-induced dissociation, and
electroabsorption of excitons in phosphorene [0.0]
We compute binding energies, Stark shifts, electric-field-induced dissociation rates, and the Franz-Keldysh effect for excitons in phosphorene.
The anisotropy of phosphorene is largely due to the direction of the effective masses.
arXiv Detail & Related papers (2020-06-23T11:25:28Z)
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.