Fetching the paper…
Reading the bibliography…
We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms.
Significance of electromagnetic potentials in the quantum theory
Yakir Aharonov and David Bohm · 1959
Earlier work this paper cites.
Ultraviolet behavior of non-abelian gauge theories
David J. Gross and Frank Wilczek · 1973
Earlier work this paper cites.
Advantages of the color octet gluon picture
Harald Fritzsch, Murray Gell-Mann, and Heinrich Leutwyler · 1973
Earlier work this paper cites.
Reliable perturbative results for strong interactions?
H. David Politzer · 1973
Earlier work this paper cites.
Hamiltonian formulation of wilson’s lattice gauge theories
John Kogut and Leonard Susskind · 1975
Earlier work this paper cites.
Strong-coupling calculations of lattice gauge theories: ( 1 + 1 ) \left(1+1\right) -dimensional exercises
T. Banks, Leonard Susskind, and John Kogut · 1976
Earlier work this paper cites.
Lattice fermions
Leonard Susskind · 1977
Earlier work this paper cites.
A 1n expandable series of non-linear σ \sigma models with instantons
A d’Adda, M Lüscher, and P Di Vecchia · 1978
Earlier work this paper cites.
s u ( n ) su\left(n\right) invariant non-linear σ \sigma models
H Eichenherr · 1978
Earlier work this paper cites.
A no-go theorem for regularizing chiral fermions
H.B. Nielsen and M. Ninomiya · 1981
Earlier work this paper cites.
Absence of neutrinos on a lattice
H.B. Nielsen and M. Ninomiya · 1981
Earlier work this paper cites.
Absence of neutrinos on a lattice
H.B. Nielsen and M. Ninomiya · 1981
Earlier work this paper cites.
Finite matrix models with continuous local gauge invariance
D Horn · 1981
Earlier work this paper cites.
Quantal phase factors accompanying adiabatic changes
Michael V Berry · 1984
Earlier work this paper cites.
Lattice gauge magnets: Local isospin from spin
Peter Orland and Daniel Rohrlich · 1990
Earlier work this paper cites.
Canonical quantization of theories containing fractional powers of the d’alembertian operator
RLPG Do Amaral and EC Marino · 1992
Earlier work this paper cites.
Exact solution of a quantum gauge magnet in 2+ 1 dimensions
Peter Orland · 1992
Earlier work this paper cites.
An introduction to quantum field theory
Michael E. Peskin and Daniel V. Schroeder · 1995
Earlier work this paper cites.
Gauge structures in atom-laser interaction: Bloch oscillations in a dark lattice
R Dum and M Olshanii · 1996
Earlier work this paper cites.
Universal quantum simulators
Seth Lloyd · 1996
Earlier work this paper cites.
Quantum link models: A discrete approach to gauge theories
Shailesh Chandrasekharan and U-J Wiese · 1997
Earlier work this paper cites.
Series expansions for the massive schwinger model in hamiltonian lattice theory
C. J. Hamer, Zheng Weihong, and J. Oitmaa · 1997
Earlier work this paper cites.
Geometric potentials for subrecoil dynamics
PM Visser and G Nienhuis · 1998
Earlier work this paper cites.
Qcd as a quantum link model
R Brower, Shailesh Chandrasekharan, and U-J Wiese · 1999
Earlier work this paper cites.
Tunneling dynamics and gauge potentials in optical lattices
S. K. Dutta, B. K. Teo, and G. Raithel · 1999
Earlier work this paper cites.
Quantum zeno subspaces
P Facchi and S Pascazio · 2002
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons
A. Yu Kitaev · 2003
Earlier work this paper cites.
D-theory: field quantization by dimensional reduction of discrete variables
R Brower, S Chandrasekharan, S Riederer, and U-J Wiese · 2004
Earlier work this paper cites.
Discrete non-abelian gauge theories in josephson-junction arrays and quantum computation
Benoit Douçot, Lev B. Ioffe, and Julien Vidal · 2004
Earlier work this paper cites.
Harmonic oscillator pre-potentials in s u ( 2 ) su\left(2\right) lattice gauge theory
Manu Mathur · 2005
Earlier work this paper cites.
Emergence of artificial photons in an optical lattice
Sumanta Tewari, VW Scarola, T Senthil, and S Das Sarma · 2006
Earlier work this paper cites.
Synthetic magnetic fields for ultracold neutral atoms
Y.-J. Lin, R. L. Compton, K. Jiménez-García, J. V. Porto, and I. B. Spielman · 2009
Earlier work this paper cites.
Prepotential formulation of s u ( 3 ) su\left(3\right) lattice gauge theory
Ramesh Anishetty, Manu Mathur, and Indrakshi Raychowdhury · 2009
Cited alongside, same era.
A rydberg quantum simulator
Hendrik Weimer, Markus Müller, Igor Lesanovsky, Peter Zoller, and Hans Peter Büchler · 2010
Cited alongside, same era.
Colloquium: Artificial gauge potentials for neutral atoms
Jean Dalibard, Fabrice Gerbier, Gediminas Juzeliūnas, and Patrik Öhberg · 2011
Cited alongside, same era.
Experimental realization of strong effective magnetic fields in an optical lattice
M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y.-A. Chen, and I. Bloch · 2011
Cited alongside, same era.
Optical-lattice hamiltonians for relativistic quantum electrodynamics
Eliot Kapit and Erich Mueller · 2011
Cited alongside, same era.
Confinement and lattice quantum-electrodynamic electric flux tubes simulated with ultracold atoms
Formulation of lattice gauge theories for quantum simulations
Erez Zohar and Michele Burrello · 2015
Later among the works it cites.
Periodically driven quantum matter: The case of resonant modulations
N. Goldman, J. Dalibard, M. Aidelsburger, and N. R. Cooper · 2015
Later among the works it cites.
Discrete abelian gauge theories for quantum simulations of qed
Simone Notarnicola, Elisa Ercolessi, Paolo Facchi, Giuseppe Marmo, Saverio Pascazio, and Francesco V Pepe · 2015
Later among the works it cites.
Gauge-invariant implementation of the abelian-higgs model on optical lattices
Alexei Bazavov, Yannick Meurice, S-W Tsai, Judah Unmuth-Yockey, and Jin Zhang · 2015
Later among the works it cites.
Non-abelian su (2) lattice gauge theories in superconducting circuits
A Mezzacapo, E Rico, C Sabín, IL Egusquiza, L Lamata, and E Solano · 2015
Later among the works it cites.
Proposal for the quantum simulation of the c p ( 2 ) cp\left(2\right) model on optical lattices
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Erez Zohar and Benni Reznik · 2011
Cited alongside, same era.
Tunable gauge potential for neutral and spinless particles in driven optical lattices
J. Struck, C. Ölschläger, M. Weinberg, P. Hauke, J. Simonet, A. Eckardt, M. Lewenstein, K. Sengstock, and P. Windpassinger · 2012
Cited alongside, same era.
Atomic quantum simulation of dynamical gauge fields coupled to fermionic matter: From string breaking to evolution after a quench
D. Banerjee, M. Dalmonte, M. Müller, E. Rico, P. Stebler, U.-J. Wiese, and P. Zoller · 2012
Cited alongside, same era.
Simulating compact quantum electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
Erez Zohar, J. Ignacio Cirac, and Benni Reznik · 2012
Cited alongside, same era.
Realization of the hofstadter hamiltonian with ultracold atoms in optical lattices
M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch · 2013
Cited alongside, same era.
Realizing the harper hamiltonian with laser-assisted tunneling in optical lattices
Hirokazu Miyake, Georgios A. Siviloglou, Colin J. Kennedy, William Cody Burton, and Wolfgang Ketterle · 2013
Cited alongside, same era.
Optical abelian lattice gauge theories
L Tagliacozzo, A Celi, A Zamora, and M Lewenstein · 2013
Cited alongside, same era.
Catherine Laflamme, Wynne Evans, Marcello Dalmonte, Urs Gerber, Héctor Mejía-Díaz, Wolfgang Bietenholz, Uwe-Jens Wiese, and Peter Zoller · 2015
Later among the works it cites.
Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
Erez Zohar, J Ignacio Cirac, and Benni Reznik · 2015
Later among the works it cites.
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
Esteban A Martinez, Christine A Muschik, Philipp Schindler, Daniel Nigg, Alexander Erhard, Markus Heyl, Philipp Hauke, Marcello Dalmonte, Thomas Monz, Peter Zoller, et al · 2016
Later among the works it cites.
Anisotropic long-range spin systems
Nicolò Defenu, Andrea Trombettoni, and Stefano Ruffo · 2016
Later among the works it cites.
Conformal invariance in the long-range ising model
Miguel F. Paulos, Slava Rychkov, Balt C. van Rees, and Bernardo Zan · 2016
Later among the works it cites.
Schwinger pair production with ultracold atoms
V Kasper, Florian Hebenstreit, MK Oberthaler, and J Berges · 2016
Later among the works it cites.
c p cp quantum field theories with alkaline-earth atoms in optical lattices
C Laflamme, Wynne Evans, M Dalmonte, Urs Gerber, H Mejía-Díaz, W Bietenholz, U-J Wiese, and P Zoller · 2016
Later among the works it cites.
Loops and strings in a superconducting lattice gauge simulator
G. K. Brennen, G. Pupillo, E. Rico, T. M. Stace, and D. Vodola · 2016
Later among the works it cites.
Building projected entangled pair states with a local gauge symmetry
Erez Zohar and Michele Burrello · 2016
Later among the works it cites.
Atomic quantum simulation of a three-dimensional u ( 1 ) u\left(1\right) gauge-higgs model
Yoshihito Kuno, Shinya Sakane, Kenichi Kasamatsu, Ikuo Ichinose, and Tetsuo Matsui · 2016
Later among the works it cites.
Field and Gauge Theories with Ultracold Gauge Potentials and Fields
Joao C. Pinto Barros · 2017
Later among the works it cites.
Robustness of confinement properties of schwinger-thirring models
Joao C. Pinto Barros, Marcello Dalmonte, and Andrea Trombettoni · 2017
Later among the works it cites.
Upper and lower critical decay exponents of ising ferromagnets with long-range interaction
Toshiki Horita, Hidemaro Suwa, and Synge Todo · 2017
Later among the works it cites.
One-dimensional long-range percolation: A numerical study
G. Gori, M. Michelangeli, N. Defenu, and A. Trombettoni · 2017
Later among the works it cites.
Long-range critical exponents near the short-range crossover
Connor Behan, Leonardo Rastelli, Slava Rychkov, and Bernardo Zan · 2017
Later among the works it cites.
A scaling theory for the long-range to short-range crossover and an infrared duality
Connor Behan, Leonardo Rastelli, Slava Rychkov, and Bernardo Zan · 2017
Later among the works it cites.
Criticality and phase diagram of quantum long-range o( n n ) models
Nicolò Defenu, Andrea Trombettoni, and Stefano Ruffo · 2017
Later among the works it cites.
Abelian gauge potentials on cubic lattices
Michele Burrello, Luca Lepori, Simone Paganelli, and Andrea Trombettoni · 2017
Later among the works it cites.
Digital quantum simulation of ℤ 2 \mathbb{Z}_{2} lattice gauge theories with dynamical fermionic matter
Erez Zohar, Alessandro Farace, Benni Reznik, and J. Ignacio Cirac · 2017
Later among the works it cites.
Digital lattice gauge theories
Erez Zohar, Alessandro Farace, Benni Reznik, and J. Ignacio Cirac · 2017
Later among the works it cites.
Quantum simulation of abelian lattice gauge theories via state-dependent hopping
A. S. Dehkharghani, E. Rico, N. T. Zinner, and A. Negretti · 2017
Later among the works it cites.
Quantum simulation of ( 1 + 1 ) \left(1+1\right) -dimensional u ( 1 ) u\left(1\right) gauge-higgs model on a lattice by cold bose gases
Yoshihito Kuno, Shinya Sakane, Kenichi Kasamatsu, Ikuo Ichinose, and Tetsuo Matsui · 2017
Later among the works it cites.
Quantum simulation of the abelian-higgs lattice gauge theory with ultracold atoms
Daniel González-Cuadra, Erez Zohar, and J Ignacio Cirac · 2017
Later among the works it cites.
u ( 1 ) u\left(1\right) wilson lattice gauge theories in digital quantum simulators
Christine Muschik, Markus Heyl, Esteban A. Martinez, Thomas Monz, Philipp Schindler, Berit Vogell, Marcello Dalmonte, Philipp Hauke, Rainer Blatt, and Peter Zoller · 2017
Later among the works it cites.
Implementing quantum electrodynamics with ultracold atomic systems
V Kasper, F Hebenstreit, F Jendrzejewski, M K Oberthaler, and J Berges · 2017
Later among the works it cites.
Long-range interactions from u (1) gauge fields via dimensional mismatch
Joao C Pinto Barros, Marcello Dalmonte, and Andrea Trombettoni · 2018
Later among the works it cites.