U(1) and SU(2) quantum dissipative systems: The Caldeira-Leggett vs. the Amegaokar-Eckern-Schön approaches
arXiv:1508.00807 · doi:10.1134/S1063776116030109
Abstract
There are two paradigmatic frameworks for treating quantum systems coupled to a dissipative environment: the Caldeira-Leggett and the Ambegaokar-Eckern-Schön approaches. Here we recall the differences between them, and explain the consequences when each is applied to a zero dimensional spin (possessing an SU(2) symmetry) in a dissipative environment (a dissipative quantum dot near or beyond the Stoner instability point).
Contribution for Leonid Keldysh 85 Festschrift
References in corpus (11)
- Spin-torque shot noise in magnetic tunnel junctions
- Transient fluctuation relations for time-dependent particle transport
- Spin-orbit interaction in quantum dots in the presence of exchange correlations
- Geometric Quantum Noise of Spin
- The Interplay of Spin and Charge Channels in Zero Dimensional Systems
- Stochastic dynamics of magnetization in a ferromagnetic nanoparticle out of equilibrium
- Mesoscopic competition of superconductivity and ferromagnetism: conductance peak statistics in metallic grains
- An Exact Solution for Spin and Charge Correlations in Quantum Dots: The Effect of Level Fluctuations and Zeeman Splitting
- A quantum dot close to Stoner instability: the role of Berry's Phase
- Spin fluctuations in quantum dots
- Statistics of Spin Fluctuations in Quantum Dots with Ising Exchange