Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira
arXiv:2604.26524 · doi:10.1007/s13538-026-02127-2
Abstract
This article presents a brief account of Amir O. Caldeira's contributions to the theory of quantum Brownian motion. Motivated by its importance, we outline the description of Brownian motion in the quantum regime following Caldeira's first works. In this context, we particularly highlight the effect of dissipation on the tunneling rate out of a metastable state. We then journey along the alternative ways to approach quantum Brownian motion developed by Caldeira during his career, which go beyond the so-called Caldeira-Leggett model. We conclude by summarizing some of Caldeira's contributions to contemporary fields such as the theory of quantum decoherence and quantum thermodynamics, that were strongly inspired by his eponymous approach to quantum Brownian motion.
arXiv commentBrief review submitted to the Special Issue "Frontiers in Quantum Mechanics and the 45 Years of the Caldeira-Leggett model" of the Brazilian Journal of Physics to celebrate the career of A. O. Caldeira
References in corpus (40)
- Quantum Computing in the NISQ era and beyond
- Decoherence, einselection, and the quantum origins of the classical
- Decoherence, the measurement problem, and interpretations of quantum mechanics
- Coherent Quantum Dynamics of a Superconducting Flux Qubit
- Quantum Decoherence
- Quantum dynamics of impurities in a 1D Bose gas
- Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
- Fundamental Aspects of Quantum Brownian Motion
- Alternative Derivation of the Hu-Paz-Zhang Master Equation for Quantum Brownian Motion
- Decoherence and Initial Correlations in Quantum Brownian Motion
- Quantum Darwinism in quantum Brownian motion: the vacuum as a witness
- Dissipative quantum systems modeled by a two level reservoir coupling
- Brownian motion of massive skyrmions forced by spin polarized currents
- Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
- An alternative approach for the dynamics of polarons in one dimension
- Entropy Production in Quantum Brownian Motion
- Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
- Effective coupling between two Brownian particles
- Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
- Transport Properties of Solitons
- Dissipation in the Caldeira-Leggett model
- The Post-Decoherence Density Matrix Propagator for Quantum Brownian Motion
- Thermodynamics of quantum Brownian motion with internal degrees of freedom: the role of entanglement in the strong-coupling quantum regime
- Effective Quantum Dynamics of two Brownian particles
- The mobility and diffusion of a particle coupled to a Luttinger liquid
- Dynamics of topological defects in a spiral: a scenario for the spin-glass phase of cuprates
- Motion of heavy particles coupled to fermionic and bosonic environments in one dimension
- Dissipative dynamics of spins in quantum dots
- Quantum Brownian motion under generalized position measurements: A converse Zeno scenario
- von Neumann entropy and the entropy production of a damped harmonic oscillator
- Thermal equilibrium of two quantum Brownian particles
- Quantum Brownian Motion of a particle from Casimir-Polder Interactions
- Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode
- Statistical Entropy of Open Quantum Systems
- Measured quantum probability distribution functions for Brownian motion
- Quantum corrections to the entropy in a driven quantum Brownian motion model
- Exact Solution for the Heat Conductance in Harmonic Chains
- Mobility of Bloch Walls via the Collective Coordinate Method
- Complete Positivity and Thermal Relaxation in Quadratic Quantum Master Equations
- Dissipative dynamics of topological defects in frustrated Heisenberg spin systems