Path-integral approach to the thermodynamics of bosons with memory: Density and correlation functions
arXiv:2109.00350 · doi:10.1103/PhysRevA.104.062201
Abstract
Expanding upon previous work, using the path-integral formalism we derive expressions for the one-particle reduced density matrix and the two-point correlation function for a quadratic system of bosons that interact through a general class of memory kernels. The results are applied to study the density, condensate fraction and pair correlation function of trapped bosons harmonically coupled to external distinguishable masses.
arXiv comment23 pages, 5 figures
References in corpus (13)
- Entropy and Area
- Specific heat anomalies of open quantum systems
- Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism
- Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate
- Density and Pair Correlation Function of Confined Identical Particles: the Bose-Einstein Case
- Classical small systems coupled to finite baths
- Ground state and optical conductivity of interacting polarons in a quantum dot
- Specific heat anomalies of small quantum systems subjected to finite baths
- On the Best Quadratic Approximation in Feynman's Path Integral Treatment of the Polaron
- Condensation and interaction range in harmonic boson traps: a variational approach
- Thermodynamic anomaly of the free damped quantum particle: the bath perspective
- Thermodynamic anomalies in the presence of dissipation: from the free particle to the harmonic oscillator
- Path-integral approach to the thermodynamics of bosons with memory: Partition function and specific heat