Hydrodynamic modes and operator spreading in a long-range center-of-mass-conserving Brownian SYK model

• URL: http://arxiv.org/abs/2409.11655v1
• Date: Wed, 18 Sep 2024 02:46:11 GMT
• Title: Hydrodynamic modes and operator spreading in a long-range center-of-mass-conserving Brownian SYK model
• Authors: Bai-Lin Cheng, Shao-Kai Jian, Zhi-Cheng Yang,
• Abstract summary: We study a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/reta$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics associated with the conserved charge, which we reveal by computing the Schwinger-Keldysh effective action.
• Score: 3.831384370378426
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/r^\eta$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics associated with the conserved charge, which we reveal by computing the Schwinger-Keldysh effective action. Our result shows that charge transport in this system can be subdiffusive, diffusive, or superdiffusive, with the dynamical exponent controlled by $\eta$. We further employ a doubled Hilbert space methodology to derive an effective action for the out-of-time-order correlator (OTOC), from which we obtain the phase diagram delineating regimes where the lightcone is linear or logarithmic. Our results provide a concrete example of a quantum many-body system with kinetic constraint and long-range interactions in which the emergent hydrodynamic modes and OTOC can be computed analytically.

Related papers

• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment. We find sufficient conditions under which dynamical decoupling works for such systems. Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Third quantization with Hartree approximation for open-system bosonic transport [49.1574468325115]
  We present a self-consistent formalism for solving the open-system bosonic Lindblad equation with weak interactions in the steady state. The method allows us to characterize and predict large-system behavior of quantum transport in interacting bosonic systems relevant to cold-atom experiments.
  arXiv  Detail & Related papers  (2024-08-23T15:50:48Z)
• Bardeen-Cooper-Schrieffer interaction as an infinite-range Penson-Kolb pairing mechanism [0.0]
  We show that the well-known $(kuparrow, -kdownarrow)$ Bardeen-Cooper-Schrieffer interaction, when considered in real space, is equivalent to an infinite-range Penson-Kolb pairing mechanism. We investigate the dynamics of fermionic particles confined in a ring-shaped lattice.
  arXiv  Detail & Related papers  (2024-01-30T10:29:46Z)
• Bexcitonics: Quasi-particle approach to open quantum dynamics [0.0]
  We develop a quasiparticle approach to capture the dynamics of open quantum systems coupled to bosonic thermal baths. Bexcitonic properties offer a coarse-grained view of the correlated system-bath dynamics and its numerical convergence.
  arXiv  Detail & Related papers  (2024-01-19T22:29:13Z)
• Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions [0.0]
  We identify emergent hydrodynamics governing charge transport in Brownian random circuits with various symmetries, constraints, and ranges of interactions. Our approach provides a general and versatile framework to qualitatively understand the dynamics of conserved operators under random unitary time evolution.
  arXiv  Detail & Related papers  (2023-04-25T17:59:03Z)
• Hierarchical hydrodynamics in long-range multipole-conserving systems [0.0]
  We introduce a hierarchical sequence of multipole-conserving models characterized by power-law decaying couplings. We examine the late-time hydrodynamics analytically and numerically using an effective classical framework. We extend our findings to higher dimensions and explore the emergence of long-time scales in systems with low charge density.
  arXiv  Detail & Related papers  (2023-04-24T18:00:01Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Convex Analysis of the Mean Field Langevin Dynamics [49.66486092259375]
  convergence rate analysis of the mean field Langevin dynamics is presented. $p_q$ associated with the dynamics allows us to develop a convergence theory parallel to classical results in convex optimization.
  arXiv  Detail & Related papers  (2022-01-25T17:13:56Z)
• Out-of-time-order correlations and the fine structure of eigenstate thermalisation [58.720142291102135]
  Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation. We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH) We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
  arXiv  Detail & Related papers  (2021-03-01T17:51:46Z)
• Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
  A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics. The formalism shows remarkable analogies to the use of Green functions in quantum field theory. The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
  arXiv  Detail & Related papers  (2020-06-04T09:41:08Z)

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.