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The dissipative Bose-Hubbard model: Methods and examples
Open many-body quantum systems have attracted renewed interest in the context of
quantum information science and quantum transport with biological clusters and ultracold …
quantum information science and quantum transport with biological clusters and ultracold …
Open systems with error bounds: Spin-boson model with spectral density variations
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 …
environmental effects on the reduced dynamics is through the spectral density. However, in …
Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains
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 …
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
We present perturbative error bounds for the non-Markovian dynamics of observables in
open quantum systems interacting with Gaussian environments, governed by general …
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 …
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
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 …
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 …
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 …
unwarranted assumption of path continuity and the ambiguous definition of the Hamiltonian …
Reply to “Comment on 'Coherent-state path integrals in the continuum'”
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 …
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 …
integral. This has led to controversies regarding the correct way of performing calculations …