Planckian Bounds From Local Uncertainty Relations

• URL: http://arxiv.org/abs/2502.10129v1
• Date: Fri, 14 Feb 2025 12:57:43 GMT
• Title: Planckian Bounds From Local Uncertainty Relations
• Authors: Saurish Chakrabarty, Zohar Nussinov,
• Abstract summary: We introduce local uncertainty relations'' in thermal many-body systems. These lead to universal non-relativistic speed limits and transport coefficient bounds.
• Score: 0.0
• License:
• Abstract: We introduce ``local uncertainty relations'' in thermal many-body systems, from which fundamental bounds in quantum systems can be derived. These lead to universal non-relativistic speed limits (independent of interaction range) and transport coefficient bounds (e.g., those of the diffusion constant and viscosity) that are compared against experimental data.

Related papers

• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit [17.407913371102048]
  Adiabatic and sudden-quench limits have been studied in detail, but the quantum work statistics along the crossover connecting these limits has largely been an open question. Here we obtain exact scaling functions for the work statistics along the full crossover from adiabatic to sudden-quench limits for critical quantum impurity problems. These predictions can be tested in charge-multichannel Kondo quantum dot devices, where the dissipated work corresponds to the creation of nontrivial excitations.
  arXiv  Detail & Related papers  (2025-02-03T18:36:07Z)
• 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)
• Localization and integrability breaking in weakly interacting Floquet circuits [0.0]
  Floquet circuits can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good measure of the interaction strength.
  arXiv  Detail & Related papers  (2023-11-03T19:00:27Z)
• Quantum equilibration and measurements -- bounds on speeds, Lyapunov exponents, and transport coefficients obtained from the uncertainty relations and their comparison with experimental data [0.0]
  We study local quantum mechanical uncertainty relations in quantum many body systems. Some bounds are related to earlier conjectures, such as the bound on chaos by Maldacena, Shenker and Stanford. Building on a conjectured relation between quantum measurements and equilibration, our bounds, far more speculatively, suggest a minimal time scale for measurements to stabilize to equilibrium values.
  arXiv  Detail & Related papers  (2023-02-28T19:00:27Z)
• Physical interpretation of nonlocal quantum correlation through local description of subsystems [19.542805787744133]
  We propose the physical interpretation of nonlocal quantum correlation between two systems. Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
  arXiv  Detail & Related papers  (2022-10-01T10:13:40Z)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• Bound State Internal Interactions as a Mechanism for Exponential Decay [0.0]
  Un uncontrolled interactions among components of quantum mechanical bound states affect the state of the quantum system. We derive in the limit of continuous internal interactions an exactly exponential decay probability at all times and Fermi's Golden Rule for the decay rates.
  arXiv  Detail & Related papers  (2022-06-29T19:39:29Z)
• 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)
• Quantum bounds and fluctuation-dissipation relations [0.0]
  We discuss the quantum fluctuation-dissipation theorem (the KMS conditions) as the principle underlying bounds on correlation time scales. By restating the problem in a replicated space, we show that the quantum bound to chaos is a direct consequence of the KMS condition. We describe how quantum fluctuation-dissipation relations act in general as a blurring of the time-dependence of correlations, which can imply bounds on their decay rates.
  arXiv  Detail & Related papers  (2021-10-07T14:34:41Z)
• Ricci curvature of quantum channels on non-commutative transportation metric spaces [17.21921346541951]
  We introduce the coarse Ricci curvature of a quantum channel as the contraction of non-commutative metrics on the state space. We prove that the coarse Ricci curvature lower bound and its dual gradient estimate, under suitable assumptions, imply the Poincar'e inequality and transportation cost inequalities.
  arXiv  Detail & Related papers  (2021-08-24T09:52:29Z)
• Exact Universal Chaos, Speed Limit, Acceleration, Planckian Transport Coefficient, "Collapse" to equilibrium, and Other Bounds in Thermal Quantum Systems [0.0]
  We introduce "local uncertainty relations" in thermal many body systems. Our results shed light on how apparent nearly instantaneous "collapse" to energy eigenstates may arise in macroscopic many body quantum systems.
  arXiv  Detail & Related papers  (2021-07-21T17:22:08Z)

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.