2. | Maciej Lewenstein, David Cirauqui, Miguel Angel Garcia-March, Guillem Guigo i Corominas, Przemysław R. Grzybowski, Jose Saavedra, Martin Wilkens, Jan Wehr Haake-Lewenstein-Wilkens approach to spin-glasses revisited Journal of Physics A: Mathematical and Theoretical, 2022. Abstract | Links | BibTeX @article{10.1088/1751-8121/ac9d10b,
title = {Haake-Lewenstein-Wilkens approach to spin-glasses revisited},
author = {Maciej Lewenstein and David Cirauqui and Miguel Angel Garcia-March and Guillem Guigo i Corominas and Przemysław R. Grzybowski and Jose Saavedra and Martin Wilkens and Jan Wehr},
url = {http://iopscience.iop.org/article/10.1088/1751-8121/ac9d10},
year = {2022},
date = {2022-10-24},
journal = {Journal of Physics A: Mathematical and Theoretical},
abstract = {We revisit the Haake-Lewenstein-Wilkens (HLW) approach to Edwards-Anderson (EA) model of Ising spin glass [Phys. Rev. Lett. 55, 2606 (1985)]. This approach consists in evaluation and analysis of the probability distribution of configurations of two replicas of the system, averaged over quenched disorder. This probability This approximate result suggest that qEA > 0 at 0 < T < Tc in 3D and 4D. The case of 2D seems to be a little more subtle, since in the present approach energy increase for a domain wall competes with boundary/edge effects more strongly in 2D; still our approach predicts spin glass order at sufficiently low temperature. We speculate, how these predictions confirm/contradict widely spread opinions that: i) There exist only one (up to the spin flip) ground state in EA model in 2D, 3D and 4D; ii) There is (no) spin glass transition in 3D and 4D (2D). This paper is dedicated to the memories of Fritz Haake and Marek Cieplak.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We revisit the Haake-Lewenstein-Wilkens (HLW) approach to Edwards-Anderson (EA) model of Ising spin glass [Phys. Rev. Lett. 55, 2606 (1985)]. This approach consists in evaluation and analysis of the probability distribution of configurations of two replicas of the system, averaged over quenched disorder. This probability This approximate result suggest that qEA > 0 at 0 < T < Tc in 3D and 4D. The case of 2D seems to be a little more subtle, since in the present approach energy increase for a domain wall competes with boundary/edge effects more strongly in 2D; still our approach predicts spin glass order at sufficiently low temperature. We speculate, how these predictions confirm/contradict widely spread opinions that: i) There exist only one (up to the spin flip) ground state in EA model in 2D, 3D and 4D; ii) There is (no) spin glass transition in 3D and 4D (2D). This paper is dedicated to the memories of Fritz Haake and Marek Cieplak. |
1. | Monika Aidelsburger, Luca Barbiero, Alejandro Bermudez, Titas Chanda, Alexandre Dauphin, Daniel González-Cuadra, Przemysław R. Grzybowski, Simon Hands, Fred Jendrzejewski, Johannes Jünemann adn Gediminas Juzeliu ̄nas, Valentin Kasper, Angelo Piga, Shi-Ju Ran, Matteo Rizzi, Germán Sierra, Luca Tagliacozzo, Emanuele Tirrito, Torsten V. Zache, Jakub Zakrzewski, Erez Zohar, Maciej Lewenstein Cold atoms meet lattice gauge theory Philos. Trans. A Math. Phys. Eng. Sci., 380 (2216), pp. 20210064, 2021. Abstract | Links | BibTeX @article{Aidelsburger2022-be,
title = {Cold atoms meet lattice gauge theory},
author = {Monika Aidelsburger and Luca Barbiero and Alejandro Bermudez and Titas Chanda and Alexandre Dauphin and Daniel González-Cuadra and Przemysław R. Grzybowski and Simon Hands and Fred Jendrzejewski and Johannes Jünemann adn Gediminas Juzeliu ̄nas and Valentin Kasper and Angelo Piga and Shi-Ju Ran and Matteo Rizzi and Germán Sierra and Luca Tagliacozzo and Emanuele Tirrito and Torsten V. Zache and Jakub Zakrzewski and Erez Zohar and Maciej Lewenstein},
url = {https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0064},
doi = {10.1098/rsta.2021.0064},
year = {2021},
date = {2021-12-20},
journal = {Philos. Trans. A Math. Phys. Eng. Sci.},
volume = {380},
number = {2216},
pages = {20210064},
publisher = {The Royal Society},
abstract = {The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is mostly motivated by the fact that bosons are more áccessible' and easier to manipulate for experimentalists, but this 'substitution' also leads to new physics and novel phenomena. It allows us to gain new information about among other things confinement and the dynamics of the deconfinement transition. We will thus consider bosons in dynamical lattices corresponding to the bosonic Schwinger or [Formula: see text] Bose-Hubbard models. Another central idea of this review concerns atomic simulators of paradigmatic models of particle physics theory such as the Creutz-Hubbard ladder, or Gross-Neveu-Wilson and Wilson-Hubbard models. This article is not a general review of the rapidly growing field-it reviews activities related to quantum simulations for lattice field theories performed by the Quantum Optics Theory group at ICFO and their collaborators from 19 institutions all over the world. Finally, we will briefly describe our efforts to design experimentally friendly simulators of these and other models relevant for particle physics. This article is part of the theme issue 'Quantum technologies in particle physics'.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is mostly motivated by the fact that bosons are more áccessible' and easier to manipulate for experimentalists, but this 'substitution' also leads to new physics and novel phenomena. It allows us to gain new information about among other things confinement and the dynamics of the deconfinement transition. We will thus consider bosons in dynamical lattices corresponding to the bosonic Schwinger or [Formula: see text] Bose-Hubbard models. Another central idea of this review concerns atomic simulators of paradigmatic models of particle physics theory such as the Creutz-Hubbard ladder, or Gross-Neveu-Wilson and Wilson-Hubbard models. This article is not a general review of the rapidly growing field-it reviews activities related to quantum simulations for lattice field theories performed by the Quantum Optics Theory group at ICFO and their collaborators from 19 institutions all over the world. Finally, we will briefly describe our efforts to design experimentally friendly simulators of these and other models relevant for particle physics. This article is part of the theme issue 'Quantum technologies in particle physics'. |