Exact spectral function of a Tonks-Girardeau gas in a lattice

• URL: http://arxiv.org/abs/2005.13646v1
• Date: Wed, 27 May 2020 20:50:37 GMT
• Title: Exact spectral function of a Tonks-Girardeau gas in a lattice
• Authors: J. Settino, N. Lo Gullo, F. Plastina, A. Minguzzi
• Abstract summary: We calculate the exact spectral function of a strongly interacting one-dimensional Bose gas in the Tonks-Girardeau regime. We show that the spectral function displays a power-law behaviour close to the Lieb-I and Lieb-II singularities. In particular, the Lieb-II mode shows a divergence in the spectral function, differently from what happens in the dynamical structure factor.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The single-particle spectral function of a strongly correlated system is an essential ingredient to describe its dynamics and transport properties. We develop a general method to calculate the exact spectral function of a strongly interacting one-dimensional Bose gas in the Tonks-Girardeau regime, valid for any type of confining potential, and apply it to bosons on a lattice to obtain the full spectral function, at all energy and momentum scales. We find that it displays three main singularity lines. The first two can be identified as the analogs of Lieb-I and Lieb-II modes of a uniform fluid; the third one, instead, is specifically due to the presence of the lattice. We show that the spectral function displays a power-law behaviour close to the Lieb-I and Lieb-II singularities, as predicted by the non-linear Luttinger liquid description, and obtain the exact exponents. In particular, the Lieb-II mode shows a divergence in the spectral function, differently from what happens in the dynamical structure factor, thus providing a route to probe it in experiments with ultracold atoms.

Related papers

• Cavity QED materials: Comparison and validation of two linear response theories at arbitrary light-matter coupling strengths [41.94295877935867]
  We develop a linear response theory for materials collectively coupled to a cavity that is valid in all regimes of light-matter coupling. We compare two different approaches to obtain thermal Green functions. We provide a detailed application of the theory to the Quantum Hall effect and to a collection of magnetic models.
  arXiv  Detail & Related papers  (2024-06-17T18:00:07Z)
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles [0.0]
  We discuss how the abundance and stability of nodal phases is drastically affected by NH topology. We study a microscopic lattice model in which a sublattice-dependent interaction stabilizes nodal spectral functions.
  arXiv  Detail & Related papers  (2024-05-08T18:00:06Z)
• An Exact Expression for Multidimensional Spectroscopy of a Spin-Boson Hamiltonian [0.0]
  We provide an exact expression for multidimensional spectra of a spin-boson Hamiltonian up to arbitrary order of electric field interaction. We demonstrate the utility of this expression by modeling polaron formation and coherent exciton-phonon coupling in quantum dots.
  arXiv  Detail & Related papers  (2023-11-09T15:49:37Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• Exact Spectral Function of One-Dimensional Bose Gases [3.4327119873801335]
  We compute the spectral function of 1D Lieb-Liniger gas at a many-body level of large scales. It turns out that a full capture of the power-law singularities in the vicinities of thresholds requires system size as large as thousands of particles.
  arXiv  Detail & Related papers  (2022-09-30T04:21:43Z)
• Real-Space, Real-Time Approach to Quantum-Electrodynamical Time-Dependent Density Functional Theory [55.41644538483948]
  The equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid. Examples include the coupling strength and light frequency dependence of the energies, wave functions, optical absorption spectra, and Rabi splitting magnitudes in cavities.
  arXiv  Detail & Related papers  (2022-09-01T18:49:51Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Majorization effect on entropic functionals: An application to a V-type three-level atom-field interacting system [0.0]
  Majorization effect on some entropic functionals, such as von-Neumann, Shannon, atomic Wehrl and R'enyi entropies are investigated.
  arXiv  Detail & Related papers  (2021-06-27T13:02:28Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Multipoint correlation functions: spectral representation and numerical evaluation [0.0]
  We derivation generalized spectral representations for multipoint correlation functions that apply to many-body frameworks. Our approach separates spectral from time-ordering properties and thereby elucidates the relation between the three formalisms. Using a numerical renormalization group (NRG) method, we present numerical results for selected quantum impurity models.
  arXiv  Detail & Related papers  (2021-01-03T21:35:56Z)
• Classification of three-photon states in waveguide quantum electrodynamics [77.34726150561087]
  We show that the rich interplay of effects from order, chaos to localisation found in two-photon systems extends naturally to three-photon systems. There also exist interaction-induced localised states unique to three-photon systems such as bound trimers, corner states and trimer edge states.
  arXiv  Detail & Related papers  (2020-12-07T23:41:09Z)

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.