From Quantum Tsallis Entropy to Strange Metals

• URL: http://arxiv.org/abs/2509.13362v1
• Date: Mon, 15 Sep 2025 14:49:05 GMT
• Title: From Quantum Tsallis Entropy to Strange Metals
• Authors: Xian-Hui Ge,
• Abstract summary: We develop a unified framework connecting quantum Tsallis statistics to electronic transport.<n>We analyze magnetotransport, finding a linear-in-field magnetoresistance and a Hall angle consistent with Anderson's two-lifetime scenario.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a unified framework connecting quantum Tsallis statistics to electronic transport in strongly interacting systems. Starting from R\'enyi and Tsallis entropies, we construct a quantum Tsallis distribution that reduces to the conventional Fermi--Dirac distribution when $q=1$. For $q$ slightly deviating from unity, the correction term in the occupation function can be mapped to a $q$-deformed Schwarzian action, corresponding to soft reparametrization modes. Coupling these soft modes to electrons via the Fermi Golden Rule yields a modified scattering rate, which reproduces conventional Fermi-liquid behavior at low temperatures and linear-in-temperature resistivity at high temperatures. Using the memory matrix formalism, we analyze magnetotransport, finding a linear-in-field magnetoresistance and a Hall angle consistent with Anderson's two-lifetime scenario. At sufficiently low temperatures, both magnetoresistance and Hall response smoothly recover Fermi-liquid quadratic behaviors. This approach provides a controlled interpolation between Fermi-liquid and non-Fermi-liquid regimes, quantitatively linking $q$-deformation, soft-mode dynamics, and experimentally measurable transport coefficients in strange metals.

Related papers

• Pseudogap in a Fermi-Hubbard quantum simulator [33.741138736466986]
  Understanding doped Mott insulators is a fundamental goal in condensed matter physics, with relevance to cuprate superconductors and other quantum materials.<n>Here we observe a crossover between a normal metal and a pseudogapped metal in the Hubbard model by performing thermodynamic and spectroscopic measurements in a cold atom quantum simulator.<n>Our results experimentally demonstrate the existence of a pseudogapped metal in the Hubbard model, partially characterize the pseudogap regime, and suggest a link between the pseudogap and charge order which can be probed in future work.
  arXiv  Detail & Related papers  (2025-09-22T17:55:08Z)
• Pseudo-Goldstone Modes at Finite Temperature [3.4069627091757178]
  Goldstone's theorem and its extension to pseudo-Goldstone modes have profound implications across diverse areas of physics.<n> PG modes emerge from accidental degeneracies lifted by quantum and thermal fluctuations.<n>This work establishes a general framework for investigating PG modes at finite temperatures.
  arXiv  Detail & Related papers  (2025-05-12T05:00:20Z)
• Electron-Electron Interactions in Device Simulation via Non-equilibrium Green's Functions and the GW Approximation [71.63026504030766]
  electron-electron (e-e) interactions must be explicitly incorporated in quantum transport simulation.<n>This study is the first one reporting large-scale atomistic quantum transport simulations of nano-devices under non-equilibrium conditions.
  arXiv  Detail & Related papers  (2024-12-17T15:05:33Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• 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)
• Quantum mean-field treatment of the dynamics of a two-level atom in a simple cubic lattice [0.0]
  Entanglement sudden death and revival is shown to occur close to the critical temperature. The dependence on the change of the temperature and the magnitude of spin is also investigated.
  arXiv  Detail & Related papers  (2022-06-28T17:03:48Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models [0.0]
  We study the non-equilibrium dynamics of a one-dimensional complex Sachdev-Ye-Kitaev chain. We explore the thermoelectric transport properties of this system by imposing uniform temperature and chemical potential gradients.
  arXiv  Detail & Related papers  (2022-04-12T18:00:36Z)
• Renormalization group for open quantum systems using environment temperature as flow parameter [0.0]
  We present the $T$-flow renormalization group method, which computes the memory kernel for the density-operator evolution of an open quantum system. We benchmark in the stationary limit, readily accessible in real-time for voltages on the order of the coupling or larger. We analytically show that the short-time dynamics of both local and non-local observables follow a universal temperature-independent behaviour.
  arXiv  Detail & Related papers  (2021-11-14T11:52:27Z)
• Ab-initio study of interacting fermions at finite temperature with neural canonical transformation [7.880128624913544]
  We present a variational density matrix approach to the thermal properties of interacting fermions in the continuum. We study electrons in a two-dimensional quantum dot with an interaction-induced crossover from Fermi liquid to Wigner molecule.
  arXiv  Detail & Related papers  (2021-05-18T16:16:02Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.