Anyon Quantum Transport and Noise away from Equilibrium

• URL: http://arxiv.org/abs/2005.13323v1
• Date: Wed, 27 May 2020 12:33:09 GMT
• Title: Anyon Quantum Transport and Noise away from Equilibrium
• Authors: Mihail Mintchev and Paul Sorba
• Abstract summary: We investigate the quantum transport of anyons in one space dimension. A non-equilibrium representation of the physical observables is constructed. The dependence of the relative noise power on the statistical parameter is established.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the quantum transport of anyons in one space dimension. After establishing some universal features of non-equilibrium systems in contact with two heat reservoirs in a generalised Gibbs state, we focus on the abelian anyon solution of the Tomonaga-Luttinger model possessing axial-vector duality. In this context a non-equilibrium representation of the physical observables is constructed, which is the basic tool for a systematic study of the anyon particle and heat transport. We determine the associated Lorentz number and describe explicitly the deviation from the standard Wiedemann-Franz law induced by the interaction and the anyon statistics. The quantum fluctuations generated by the electric and helical currents are investigated and the dependence of the relative noise power on the statistical parameter is established.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Emergent Anomalous Hydrodynamics at Infinite Temperature in a Long-Range XXZ Model [14.297989605089663]
  We find anomalous hydrodynamics in a spin-1/2 XXZ chain with power-law couplings. We quantify the degree of quantum chaos using the Kullback-Leibler divergence. This work offers another deep understanding of emergent anomalous transport phenomena in a wider range of non-integrable quantum many-body systems.
  arXiv  Detail & Related papers  (2024-03-26T17:50:04Z)
• Independent-oscillator model and the quantum Langevin equation for an oscillator: A review [19.372542786476803]
  A derivation of the quantum Langevin equation is outlined based on the microscopic model of the heat bath. In the steady state, we analyze the quantum counterpart of energy equipartition theorem. The free energy, entropy, specific heat, and third law of thermodynamics are discussed for one-dimensional quantum Brownian motion.
  arXiv  Detail & Related papers  (2023-06-05T07:59:35Z)
• Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation [16.87034694915828]
  We revisit the dissipaton equation of motion theory and establish an equivalent dissipatons-embedded quantum master equation (DQME) The DQME supplies a direct approach to investigate the statistical characteristics of dissipatons and thus the physically supporting hybrid bath modes. Numerical demonstrations are carried out on the electron transfer model, exhibiting the transient statistical properties of the solvation coordinate.
  arXiv  Detail & Related papers  (2023-03-19T14:14:46Z)
• Dynamical abelian anyons with bound states and scattering states [0.0]
  We introduce a family of quantum spin Hamiltonians on $mathbbZ2$. In particular, the anyons exhibit a non-trivial holonomy with a quantized phase, consistent with the gauge and duality symmetries of the Hamiltonian.
  arXiv  Detail & Related papers  (2023-03-13T18:01:02Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• Nonequilibrium fluctuations in boson transport through squeezed reservoirs [0.0]
  We explore the effects of quantum mechanical squeezing on the nonequilibrium fluctuations of bosonic transport between two squeezed harmonic reservoirs. We derive a nonzero thermodynamic affinity under equal temperature setting of the two squeezed reservoirs.
  arXiv  Detail & Related papers  (2022-06-15T15:37:02Z)
• Quantum Entanglement in the One-Dimensional Anyonic Hubbard Model [0.0]
  Issues related to quantum entanglement in systems of indistinguishable particles are extended to anyonic statistics. Local and non-local measurements discussed in this framework are carefully analysed in the two-site anyonic Hubbard model.
  arXiv  Detail & Related papers  (2021-10-22T09:25:23Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions [2.148535041822524]
  We prove a strong exponential convergence in relative entropy of the system to equilibrium under a condition of spatial mixing. We show that our notion of spatial mixing is a consequence of the recent quantum generalization of Dobrushin and Shlosman's complete analyticity of the free-energy at equilibrium. Our results have wide-ranging applications in quantum information.
  arXiv  Detail & Related papers  (2020-09-24T16:54:06Z)
• Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems [0.0]
  We study the dynamics of the energy transferred across a point along a quantum chain. We consider the transverse field Ising and harmonic chains as prototypical models of non-interacting fermionic and bosonic excitations.
  arXiv  Detail & Related papers  (2020-07-23T16:33:58Z)

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.