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We compare standard perturbation theory with the polaron transformation for non-linear transport of electrons through a two-level system. For weak electron-phonon coupling and large bias, there is good agreement between both approaches.…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Brandes , T. Vorrath

While the quantum regression theorem (QRT) is the standard tool for computing multi-time correlation functions in open quantum systems, it relies on system-bath separability and an environment that remains in equilibrium, assumptions that…

Quantum Physics · Physics 2026-04-16 Matias Bundgaard-Nielsen , Jake Iles-Smith

The one-dimensional optical polaron is treated on the basis of the perturbation theory in the weak coupling limit. A special matrix diagrammatic technique is developed. It is shown how to evaluate all terms of the perturbation theory for…

Condensed Matter · Physics 2009-11-07 P. A. Khomyakov

When an optical emitter is strongly coupled to a vibrational bath the polaron transformation is often used to permit an accurate second-order Redfield master equation. However, the optical transition rates in the polaron frame are not…

Quantum Physics · Physics 2022-01-19 Dominic M Rouse , Erik M Gauger , Brendon W Lovett

We present the reaction-coordinate polaron-transform (RCPT) framework for generating effective Hamiltonian models to treat nonequilibrium open quantum systems at strong coupling with their surroundings. Our approach, which is based on two…

Quantum Physics · Physics 2022-11-11 Nicholas Anto-Sztrikacs , Ahsan Nazir , Dvira Segal

We report on the first results for the second-order perturbation theory correction to the ground-state energy of a nuclear many-body system in a continuum quantum Monte Carlo calculation. Second-order (and higher) perturbative corrections…

Nuclear Theory · Physics 2023-11-10 Ryan Curry , Joel E. Lynn , Kevin E. Schmidt , Alexandros Gezerlis

Quantum information processing relies on how dynamics unfold in open quantum systems. In this work, we study the non-Markovian dynamics in the single mode spin-boson model at strong couplings. In order to apply perturbation theory, we…

Quantum Physics · Physics 2025-01-03 Rayees A Mala , Mehboob Rashid , Muzaffar Qadir Lone

Using a regularization by putting the system in finite volume, we develop a novel approach to form factor perturbation theory for nonintegrable models described as perturbations of integrable ones. This permits to go beyond first order in…

High Energy Physics - Theory · Physics 2009-11-09 G. Takacs

The quantum theory of polariton condensation in a trapped state reveals a second-order phase transition evidenced by spontaneous polarization parity breaking in sub-spaces of fixed polariton occupation numbers. The emission spectra of a…

Mesoscale and Nanoscale Physics · Physics 2024-08-14 Huawen Xu , Timothy C. H. Liew , Yuri G. Rubo

Unitary transformations can allow one to study open quantum systems in situations for which standard, weak-coupling type approximations are not valid. We develop here an extension of the variational (polaron) transformation approach to open…

Important properties of complex quantum many-body systems and their phase diagrams can often already be inferred from the impurity limit. The Bose polaron problem describing an impurity atom immersed in a Bose-Einstein condensate is a…

Quantum Gases · Physics 2024-03-06 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

Determining the statistics of work done on a quantum system while strongly coupled to a reservoir is a formidable task, requiring the calculation of the full eigenspectrum of the combined system and reservoir. Here we show that this issue…

Quantum Physics · Physics 2026-05-28 Owen Diba , Harry J. D. Miller , Jake Iles-Smith , Ahsan Nazir

Prior to recombination photons, electrons, and atomic nuclei rapidly scattered and behaved, almost, like a single tightly-coupled photon-baryon plasma. We investigate here the accuracy of the tight-coupling approximation commonly used to…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Francis-Yan Cyr-Racine , Kris Sigurdson

In this work we study the formation and dynamics of polarons in a system with a few impurities in a lattice immersed in a Bose-Einstein condensate (BEC). This system has been experimentally realized using ultracold atoms and optical…

Quantum Gases · Physics 2016-01-01 Tao Yin , Daniel Cocks , Walter Hofstetter

We review old and new results on the Fr\"ohlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the…

Mathematical Physics · Physics 2021-03-02 Robert Seiringer

We investigate the Fr\"ohlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the…

Mathematical Physics · Physics 2022-07-25 Dario Feliciangeli , Robert Seiringer

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

We propose a nonequilibrium variational polaron transformation, based on an ansatz for nonequilibrium steady state (NESS) with an effective temperature, to study quantum heat transport at the nanoscale. By combining the variational polaron…

Chemical Physics · Physics 2019-07-05 ChangYu Hsieh , Junjie Liu , Chenru Duan , Jianshu Cao

We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a `rotating polaron', which can be used to model, e.g., a rotating molecule…

We present the first order self-energy correction to the linear response coefficients of polaronic systems within the truncated phase space approach developed by the present authors. Due to the system-bath coupling, the external pertubation…

Strongly Correlated Electrons · Physics 2017-05-11 Dries Sels , Fons Brosens
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