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QCD is expected to have a rich phase structure. It is empirically known to be difficult to access low temperature and nonzero chemical potential $\mu$ regions in lattice QCD simulations. We address this issue in a lattice QCD with the use…

High Energy Physics - Lattice · Physics 2012-06-08 Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito

Lattice field theory is a non-perturbative tool for studying properties of strongly interacting field theories, which is particularly amenable to numerical calculations and has quantifiable systematic errors. In these lectures we apply…

Nuclear Theory · Physics 2017-06-28 Amy N. Nicholson

We study quantum interference effects due to electron motion on a three-dimensional cubic lattice in a continuously-tunable magnetic field of arbitrary orientation and magnitude. These effects arise from the interference between magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Yeong-Lieh Lin , Franco Nori

Few-body physics plays a central role in many branches of physics, such as nuclear physics and atomic physics. Advances in controlling ultra-cold quantum gases provide an ideal testbed for few-body physics theory. In this work, we study…

Quantum Gases · Physics 2026-01-09 Zihan Li , Son T. Nguyen

Herein we propose a new numerical technique for solving field theories: the large momentum frame (LMF). This technique combines several advantages of lattice gauge theory with the simplicity of front form quantisation. We apply the LMF on…

High Energy Physics - Theory · Physics 2007-05-23 Norbert Scheu

Lower bounds on mutual information (MI) of long-haul optical fiber systems for hard-decision and soft-decision decoding are studied. Ready-to-use expressions to calculate the MI are presented. Extensive numerical simulations are used to…

Information Theory · Computer Science 2015-04-06 Tobias Fehenberger , Alex Alvarado , Polina Bayvel , Norbert Hanik

Weakly interacting Fermi gases simulate spin-lattices in energy-space, offering a rich platform for investigating information spreading and spin coherence in a large many-body quantum system. We show that the collective spin vector can be…

Quantum Gases · Physics 2021-02-24 S. Pegahan , I. Arakelyan , J. E. Thomas

Quantum lattice models with large local Hilbert spaces emerge across various fields in quantum many-body physics. Problems such as the interplay between fermions and phonons, the BCS-BEC crossover of interacting bosons, or decoherence in…

Strongly Correlated Electrons · Physics 2021-04-26 Thomas Köhler , Jan Stolpp , Sebastian Paeckel

After a brief introduction to the statistical description of data, these lecture notes focus on quantum field theories as they emerge from lattice models in the critical limit. For the simulation of these lattice models, Markov chain…

High Energy Physics - Lattice · Physics 2007-11-20 Kurt Langfeld

We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct "phases" - one in which every state is a universal resource for quantum…

Quantum Physics · Physics 2009-12-18 Sean D. Barrett , Stephen D. Bartlett , Andrew C. Doherty , David Jennings , Terry Rudolph

Mutual information has many applications in image alignment and matching, mainly due to its ability to measure the statistical dependence between two images, even if the two images are from different modalities (e.g., CT and MRI). It…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Jiecheng Liao , Junhao Lu , Jeff Ji , Jiacheng He

We survey results in lattice quantum chromodynamics from groups in the USQCD Collaboration. The main focus is on physics, but many aspects of the discussion are aimed at an audience of computational physicists.

Computational Physics · Physics 2008-11-26 Andreas S. Kronfeld

We study different aspects of quantum field theory at finite density using methods from quantum information theory. For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in $1+1$ space-time dimensions.…

High Energy Physics - Theory · Physics 2021-03-11 Lucas Daguerre , Raimel Medina , Mario Solis , Gonzalo Torroba

We study a three dimensional Z(3)-symmetric effective theory of high temperature QCD. The exact lattice-continuum relations, needed in order to perform lattice simulations with physical parameters, are computed to order O(a^0) in lattice…

High Energy Physics - Lattice · Physics 2008-11-26 A. Kurkela

Quantum link models (QLMs) are extensions of Wilson-type lattice gauge theories, and show rich physics beyond the phenomena of conventional Wilson gauge theories. Here we explore the physics of $U(1)$ symmetric QLMs, both using a more…

High Energy Physics - Lattice · Physics 2022-09-21 Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

I review some of the contributions which lattice simulations are likely to make during the next five years or so to the development of our understanding of particle physics. Particular emphasis is given to the evaluation of non-perturbative…

High Energy Physics - Lattice · Physics 2015-06-25 C. T. Sachrajda

Realistic effective interparticle interactions of quantum many-body systems are widely seen as being short-range. However, the rigorous mathematical analysis of this type of model turns out to be extremely difficult, in general, with many…

Mathematical Physics · Physics 2023-10-09 J. -B. Bru , W. de Siqueira Pedra , K. Rodrigues Alves

This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum…

High Energy Physics - Lattice · Physics 2025-01-08 Gergely Endrodi

Lattice field theory is a useful tool for studying strongly interacting theories in condensed matter physics. A prominent example is the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length.…

Quantum Gases · Physics 2011-03-23 Olga Goulko , Matthew Wingate

This is the report of the Computing Frontier working group on Lattice Field Theory prepared for the proceedings of the 2013 Community Summer Study ("Snowmass"). We present the future computing needs and plans of the U.S. lattice gauge…

High Energy Physics - Lattice · Physics 2013-10-25 T. Blum , R. S. Van de Water , D. Holmgren , R. Brower , S. Catterall , N. Christ , A. Kronfeld , J. Kuti , P. Mackenzie , E. T. Neil , S. R. Sharpe , R. Sugar
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