The dissipative Bose-Hubbard model: Methods and examples

G Kordas, D Witthaut, P Buonsante, A Vezzani… - The European Physical …, 2015 - Springer
Open many-body quantum systems have attracted renewed interest in the context of
quantum information science and quantum transport with biological clusters and ultracold …

Open systems with error bounds: Spin-boson model with spectral density variations

F Mascherpa, A Smirne, SF Huelga, MB Plenio - Physical review letters, 2017 - APS
In the study of open quantum systems, one of the most common ways to describe
environmental effects on the reduced dynamics is through the spectral density. However, in …

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

G Kordas, D Witthaut, S Wimberger - Annalen der Physik, 2015 - Wiley Online Library
Open many‐body quantum systems have recently gained renewed interest in the context of
quantum information science and quantum transport with biological clusters and ultracold …

Unified analysis of non-Markovian open quantum systems in Gaussian environment using superoperator formalism

Z Huang, L Lin, G Park, Y Zhu - arxiv preprint arxiv:2411.08741, 2024 - arxiv.org
We present perturbative error bounds for the non-Markovian dynamics of observables in
open quantum systems interacting with Gaussian environments, governed by general …

Error bounds for open quantum systems with harmonic bosonic bath

K Liu, J Lu - arxiv preprint arxiv:2408.04009, 2024 - arxiv.org
We investigate the dependence of physical observable of open quantum systems with
Bosonic bath on the bath correlation function. We provide an error estimate of the difference …

Coherent-state path integrals in the continuum: The SU (2) case

G Kordas, D Kalantzis, AI Karanikas - Annals of Physics, 2016 - Elsevier
We define the time-continuous spin coherent-state path integral in a way that is free from
inconsistencies. The proposed definition is used to reproduce known exact results. Such a …

Comment on “Coherent-state path integrals in the continuum”

E Kochetov - Physical Review A, 2019 - APS
Kordas et al.[Phys. Rev. A 90, 032104 (2014) PLRAAN 1050-2947 10.1103/PhysRevA.
90.032104] claim to have established a time-continuous formulation of the path integration …

Rigorous construction of coherent state path integrals through dualization

F Bruckmann, JD Urbina - arxiv preprint arxiv:1807.10462, 2018 - arxiv.org
Two long-standing problems in the construction of coherent state path integrals, the
unwarranted assumption of path continuity and the ambiguous definition of the Hamiltonian …

Reply to “Comment on 'Coherent-state path integrals in the continuum'”

G Kordas, SI Mistakidis, AI Karanikas - Physical Review A, 2019 - APS
In this Reply we briefly clarify the main points of our method to construct coherent-state path
integrals in the continuum and we reply to the critique raised by in the preceding Comment …

Hubbard–Stratonovich transformation and consistent ordering in the coherent state path integral: insights from stochastic calculus

A Rançon - Journal of Physics A: Mathematical and Theoretical, 2020 - iopscience.iop.org
Recently, doubts have been cast on the validity of the continuous-time coherent state path
integral. This has led to controversies regarding the correct way of performing calculations …