Quantum Dynamics of Probe Particles in Thermal Fields and the Emergence of Stochastic Dynamics

arXiv:2609.17657 · hep-th, cond-mat.stat-mech, quant-ph · Submitted 2026-09-15 · Read on arXiv

hep-th, cond-mat.stat-mech, quant-ph

Submitted: 2026-09-15

Updated: 2026-09-15

Terminology

• Momentum transfer — 10× in this paper · explained in 2 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Stochastic Dynamics — 6× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Kavli Institute for Theoretical Physics — 2× in this paper
• Boltzmann Equation — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Formal Methods — 1× in this paper · explained in 3 episodes
• Institute for Nuclear Theory — 1× in this paper
• Non-Markovian Dynamics — 1× in this paper · explained in 5 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Self-consistency — 1× in this paper · explained in 2 episodes

Sources

• Relativistic Langevin Equation derived from a particle-bath Lagrangian
• Lecture Notes on Quantum Brownian Motion
• Non-Gaussianity from Schwinger-Keldysh Effective Field Theory
• Quantum Brownian motion with non-Gaussian noises: Fluctuation-Dissipation Relation and nonlinear Langevin equation
• Out of Time Ordered Quantum Dissipation
• Out of time ordered effective dynamics of a quartic oscillator
• The Large N Limit of Superconformal Field Theories and Supergravity
• Anti De Sitter Space And Holography
• Thermalization of Heavy Quarks in the Quark-Gluon Plasma
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Heavy-Quark Probes of the Quark-Gluon Plasma at RHIC
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Heavy Quark Diffusion in Strongly Coupled $\N=4$ Yang Mills
• Momentum fluctuations of heavy quarks in the gauge-string duality
• Transverse Momentum Broadening of a Fast Quark in a $\N=4$ Yang Mills Plasma
• Brownian motion in AdS/CFT
• Thermal Noise and Stochastic Strings in AdS/CFT
• Stochastic trailing string and Langevin dynamics from AdS/CFT
• Stochastic String Motion Above and Below the World Sheet Horizon

Related papers

• Entanglement Wedge Reconstruction Beyond the Large N Limit via the Twirled Petz Map
• Horizons and Soft Quantum Information
• Energy Transmission Across Holographic Conformal Interfaces in General Dimensions
• Why Cooper pairs live in AdS2: a spectral analysis of the Yukawa-SYK model
• The Schrodinger Equation as a Gauge Theory
• Inflation with vector fields revisited: non-Gaussianities