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Quantum graphity is a background independent model for emergent locality, spatial geometry and matter. The states of the system correspond to dynamical graphs on N vertices. At high energy, the graph describing the system is highly…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka , Fotini Markopoulou , Simone Severini

In this Letter, it is shown that interactions can facilitate the emergence of topological edge states of quantum-degenerate bosonic systems in the presence of a harmonic potential. This effect is demonstrated with the concrete model of a…

Quantum Gases · Physics 2017-12-05 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

Periodically-driven quantum systems can exhibit topologically non-trivial behaviour, even when their quasi-energy bands have zero Chern numbers. Much work has been conducted on non-interacting quantum-mechanical models where this kind of…

Other Condensed Matter · Physics 2017-03-03 Callum W. Duncan , Patrik Ohberg , Manuel Valiente

Vacuum structure, one-particle excitations' spectra and bound states of these excitations are studied in frame of non-relativistic quantum field model with current $\times$ current type interaction. Hidden symmetry of the model is found. It…

Quantum Physics · Physics 2007-05-23 A. N. Vall , S. E. Korenblit , V. M. Leviant , A. V. Sinitskaya

We consider spontaneous symmetry breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using a renormalization group analysis, we show that the…

Strongly Correlated Electrons · Physics 2020-04-20 Elliot Christou , Fernado de Juan , Frank Krüger

In this article we provide a general mechanism for generating interaction-enabled fermionic topological phases. We illustrate the mechanism with crystalline symmetry-protected topological phases in 1D and 2D. These non-trivial phases…

Strongly Correlated Electrons · Physics 2016-03-23 Matthew F. Lapa , Jeffrey C. Y. Teo , Taylor L. Hughes

Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation…

Strongly Correlated Electrons · Physics 2015-06-17 Shang-Qiang Ning , Hong-Chen Jiang , Zheng-Xin Liu

SU(2) gauge theory coupled to massless fermions in the adjoint representation is quantized in light-cone gauge by imposing the equal-time canonical algebra. The theory is defined on a space-time cylinder with "twisted" boundary conditions,…

High Energy Physics - Theory · Physics 2007-05-23 Eliana Vianello

Nonlocal Hamiltonians are used widely in first-principles quantum calculations; the nonlocality stems from eliminating undesired degrees of freedom, e.g. core electrons. To date, attempts to couple nonlocal systems to external…

Materials Science · Physics 2009-11-07 Sohrab Ismail-Beigi , Eric K. Chang , Steven G. Louie

Nonlocal interaction between ultracold atoms trapped in optical lattices can give rise to interesting quantum many-body phenomena. However, its realization usually demands unconventional techniques, for example the artificial gauge fields…

Quantum Gases · Physics 2023-04-11 Yu-Biao Wu , Zhen Zheng , Xiang-Gang Qiu , Lin Zhuang , Guang-Can Guo , Xu-Bo Zou , Wu-Ming Liu

It was suggested that two entangled fermions can behave like a single boson and that the bosonic quality is proportional to the degree of entanglement between the two particles. The relation between bosonic quality and entanglement is quite…

Quantum Physics · Physics 2017-09-20 Zakarya Lasmar , Dagomir Kaszlikowski , Pawel Kurzynski

We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-type interaction between the fermions and spins. We…

Strongly Correlated Electrons · Physics 2024-10-17 Bo-Ting Chen , Abhinav Prem , Nicolas Regnault , Biao Lian

We investigate fermionic quantum field theories using functional renormalisation. In the limit of many fermion flavours $N$, we demonstrate that theories have exact solutions for their quantum effective actions given by quasi-local…

High Energy Physics - Theory · Physics 2025-02-10 Charlie Cresswell-Hogg , Daniel F. Litim

The problem of extracting the work from a quantum-thermodynamic system driven by slowly varying external parameters is discussed. It is shown that there naturally emerges a gauge-theoretic structure. The field strength identically vanishes…

Statistical Mechanics · Physics 2011-09-15 Sumiyoshi Abe

Gauge fields, real or synthetic, are crucial for understanding and manipulation of physical systems. The associated geometric phases can be measured, for example, from the Aharonov--Bohm interference. So far, real-space realizations of…

We introduce an elementary quantum system consisting of a set of spins on a graph and a particle hopping between its nodes. The quantum state is build sequentially, applying a unitary transformation that couples neighboring spins and, at a…

Quantum Physics · Physics 2019-01-23 Alberto D. Verga

The interaction between the electromagnetic field inside a cavity and natural or artificial atoms has played a crucial role in developing our understanding of light-matter interaction, and is central to various quantum technologies.…

In this paper we investigate the form of induced gauge fields that arises in two types of quantum systems. In the first we consider quantum mechanics on coset spaces G/H, and argue that G-invariance is central to the emergence of the…

High Energy Physics - Theory · Physics 2009-10-28 Peter Levay , David McMullan , Izumi Tsutsui

We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical $Z_2$ gauge field. The gauge field mediates long-range attraction between fermions resulting in their confinement into…

Strongly Correlated Electrons · Physics 2020-03-31 Umberto Borla , Ruben Verresen , Fabian Grusdt , Sergej Moroz

Topological phases of matter remain a focus of interest due to their unique properties -- fractionalisation, ground state degeneracy, and exotic excitations. While some of these properties can occur in systems of free fermions, their…

Strongly Correlated Electrons · Physics 2018-03-06 Konstantinos Meichanetzidis , Christopher J. Turner , Ashk Farjami , Zlatko Papić , Jiannis K. Pachos