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The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behavior of elementary particles to the physics of electrons in solids.
1914
Earlier work this paper cites.
F. Wegner, Duality in generalized ising models and phase transitions without local order parameters , J. Math. Phys. 10 (1971), p. 2259
1971
Earlier work this paper cites.
K.G. Wilson, Confinement of quarks , Phys. Rev. D 10 (1974), pp. 2445–2459
1974
Earlier work this paper cites.
K. Wilson, The renormalization group: Critical phenomena and the Kondo problem , Rev. Mod. Phys. 47 (1975), pp. 773–840, Available at http://rmp.aps.org/abstract/RMP/v47/i4/p773_1
1975
Earlier work this paper cites.
J. Kogut and L. Susskind, Hamiltonina formulation of Wilson’s lattice guage theoreis , Phys. Rev. D 11 (1975)
1975
Earlier work this paper cites.
A. d’Adda, M. Lüscher, and P. Di Vecchia, A 1n expandable series of non-linear σ \sigma models with instantons , Nuclear Physics B 146 (1978), pp. 63–76
1978
Earlier work this paper cites.
J. Kogut, An introduction to lattice gauge theory and spin systems , Rev. Mod. Phys. (1979), Available at http://rmp.aps.org/abstract/RMP/v51/i4/p659_1
1979
Earlier work this paper cites.
H. Goldstein, Classical Mechanics , Addison-Wesley, Reading, MA, 1980
1980
Earlier work this paper cites.
D. Horn, Finite matrix models with continuous local gauge invariance , Physics Letters B 100 (1981), p. 149
1981
Earlier work this paper cites.
R.P. Feynman, Simulating physics with computers , Int. J. Theor. Phys. 21 (1982), pp. 467–488, Available at http://link.springer.com/10.1007/BF02650179
1982
Earlier work this paper cites.
P. Orland and D. Rohrlich, Lattice gauge magnets: local isospin from spin. , Nucl. Phys. B 338 (1990), p. 647
1990
Earlier work this paper cites.
S.R. White, Density matrix formulation for quantum renormalization groups , Phys. Rev. Lett. 69 (1992), pp. 2863–2866, Available at http://prl.aps.org/abstract/PRL/v69/i19/p2863_1
1992
Earlier work this paper cites.
E. Lieb, The Hubbard Model: Some Rigorous Results and Open Problems 1993 (1993), p. 20, Available at http://arxiv.org/abs/cond-mat/9311033
1993
Earlier work this paper cites.
I. Montvay and G. Muenster, Quantum Fields on a lattice , Cambridge Univ. Press, Cambridge, 1994
1994
Earlier work this paper cites.
A. Szabo and N.S. Ostlund, Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory , 1996
1996
Earlier work this paper cites.
S. Lloyd, Universal quantum simulators , Science (1996), p. 1073
1996
Earlier work this paper cites.
M. Creutz, Quarks, gluons and lattices , Cambridge University Press, Cambridge, 1997
1997
Earlier work this paper cites.
S. Chandrasekharan and U.J. Wiese, Quantum link models : A discrete approach to gauge theories , Nucl. Phys. B 492 (1997), pp. 455–471,
1997
Earlier work this paper cites.
B. Beard, R. Brower, S. Chandrasekharan, D. Chen, A. Tsapalis, and U.J. Wiese, D-theory: field theory via dimensional reduction of discrete variables , Nuclear Physics B - Proceedings Supplements 63 (1998), pp. 775 – 789, Available at http://www.sciencedirect.com/science/article/pii/S0920563297009006, proceedings of the {XVth} International Symposium on Lattice Field Theory
1998
Earlier work this paper cites.
D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, and P. Zoller, Cold bosonic atoms in optical lattices , Physical Review Letters 81 (1998), p. 3108
1998
Earlier work this paper cites.
R. Brower, S. Chandrasekharan, and U.J. Wiese, QCD as a quantum link model , Phys. Rev. D 60 (1999), p. 094502
1999
Earlier work this paper cites.
P. Facchi, V. Gorini, G. Marmo, S. Pascazio, and E. Sudarshan, Quantum zeno dynamics , Phys. Lett. A, 275 (2000), p. 12, Available at http://arxiv.org/abs/quant-ph/0004040
2000
Earlier work this paper cites.
M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms , Nature 415 (2002), pp. 39–44, Available at http://dx.doi.org/10.1038/415039a
2002
Earlier work this paper cites.
T. Byrnes, P. Sriganesh, R. Bursill, and C. Hamer, Density matrix renormalisation group approach to the massive Schwinger model , Phys. Rev. D 66 (2002), p. 013002, Available at http://link.aps.org/doi/10.1103/PhysRevD.66.013002 \ \backslash nhttp://arxiv.org/abs/hep-lat/0201007 \ \backslash nhttp://linkinghub.elsevier.com/retrieve/pii/S0920563202014160 http://linkinghub.elsevier.com/retrieve/pii/S0920563202014160
2002
Earlier work this paper cites.
P. Facchi and S. Pascazio, Quantum zeno subspaces , Phys. Rev. Lett. 89 (2002), p. 080401, Available at http://arxiv.org/abs/quant-ph/0201115
2002
Earlier work this paper cites.
M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a mott insulator in a gas of ultracold atoms , nature 415 (2002), pp. 39–44
2002
Earlier work this paper cites.
L. Balents”, Fractionalization in an easy-axis kagome antiferromagnet , Physical Review B 65 (2002)
2002
Earlier work this paper cites.
a.Y. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. (N. Y). 303 (2003), pp. 2–30
2003
Earlier work this paper cites.
N. Shannon, G. Misguich, and K. Penc, Cyclic exchange, isolated states and spinon deconfinement in an xxz heisenberg model on the checkerboard lattice , Phys. Rev. B 69 (2004), p. 220403(R), Available at http://arxiv.org/abs/cond-mat/0403729
2004
Earlier work this paper cites.
F. Verstraete, J.J. García-Ripoll, and J.I. Cirac, Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems , Phys. Rev. Lett. 93 (2004), p. 207204, Available at http://link.aps.org/doi/10.1103/PhysRevLett.93.207204
2004
Earlier work this paper cites.
X.G. Wen, Quantum Field Theory of Many-Body Systems , Oxford University Press, 2004
2004
Earlier work this paper cites.
D. Porras and J. Cirac, Effective quantum spin systems with ion traps , Phys. Rev. Lett. 92 (2004), p. 207901, Available at http://arxiv.org/abs/quant-ph/0401102
2004
Earlier work this paper cites.
B. Doucot, L. Ioffe, and J. Vidal, Discrete non-abelian gauge theories in two-dimensional lattices and their realizations in josephson-junction arrays , Phys.Rev.B 69 (2004), p. 214501, Available at http://arxiv.org/abs/cond-mat/0302104
2004
Earlier work this paper cites.
M. Troyer and U.J. Wiese, Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations , Phys. Rev. Lett. 94 (2005), p. 170201, Available at http://link.aps.org/doi/10.1103/PhysRevLett.94.170201
2005
Earlier work this paper cites.
D. Jaksch and P. Zoller, The cold atom Hubbard toolbox , Ann. Phys. (N. Y). 315 (2005), pp. 52–79, Available at http://www.sciencedirect.com/science/article/pii/S0003491604001782
2005
Earlier work this paper cites.
H.P. Büchler, M. Hermele, S.D. Huber, M.P.a. Fisher, and P. Zoller, Atomic Quantum Simulator for Lattice Gauge Theories and Ring Exchange Models , Phys. Rev. Lett. 95 (2005), p. 40402,
2005
Earlier work this paper cites.
M. Mathur, Harmonic oscillator prepotentials in su(2) lattice gauge theory , J.Phys. A38 (2005), pp. 10015–10026, Available at http://arxiv.org/abs/hep-lat/0403029
2005
Earlier work this paper cites.
T. Sugihara, Matrix product representation of gauge invariant states in a Bbb Z 2 lattice gauge theory , J. High Energy Phys. 2005 (2005), pp. 022–022, Available at http://iopscience.iop.org/1126-6708/2005/07/022 http://stacks.iop.org/1126-6708/2005/i=07/a=022?key=crossref.033dfd8a23cc493d05da616fdaec0de7
2005
Earlier work this paper cites.
D. Jaksch and P. Zoller, The cold atom Hubbard toolbox , Ann. Phys. (N. Y). 315 (2005), pp. 52–79
2005
Earlier work this paper cites.
W. Buchmüller and C. Lüdeling, Field Theory and Standard Model , arXiv (2006), Available at http://arxiv.org/abs/hep-ph/0609174
2006
Earlier work this paper cites.
P.a. Lee, N. Nagaosa, and X.G. Wen, Doping a Mott insulator: Physics of high-temperature superconductivity , Rev. Mod. Phys. 78 (2006), pp. 17–85, Available at http://link.aps.org/doi/10.1103/RevModPhys.78.17
2006
Earlier work this paper cites.
T. DeGrand and C. DeTar, Lattice Methods for Quantum Chromodynamics , World Scientific, 2006
2006
Earlier work this paper cites.
S. Tewari, V.W. Scarola, T. Senthil, and S.D. Sarma, Emergence of artificial photons in an optical lattice , Phys. Rev. Lett. 97 (2006), p. 200401, Available at http://arxiv.org/abs/cond-mat/0605154
2006
Earlier work this paper cites.
J. van Wezel and J. van den Brink, Spontaneous symmetry breaking in quantum mechanics , Am. J. Phys. 75 (2007), p. 635, Available at http://scitation.aip.org/content/aapt/journal/ajp/75/7/10.1119/1.2730839
2007
Earlier work this paper cites.
R.J. Baxter, Exactly Solved Models in Statistical Mechanics , Dover Publications, 2007
2007
Earlier work this paper cites.
G. Vidal, Entanglement Renormalization 220405 (2007), pp. 1–4
2007
Earlier work this paper cites.
I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases , Rev. Mod. Phys. 80 (2008), pp. 885–964, Available at http://rmp.aps.org/abstract/RMP/v80/i3/p885_1
2008
Earlier work this paper cites.
C. Nayak, A. Stern, M. Freedman, and S. Das Sarma, Non-Abelian anyons and topological quantum computation , Rev. Mod. Phys. 80 (2008), pp. 1083–1159, Available at http://link.aps.org/doi/10.1103/RevModPhys.80.1083
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
R. Jördens, N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, A mott insulator of fermionic atoms in an optical lattice , Nature 455 (2008), pp. 204–207
2008
Cited alongside, same era.
U. Schneider, L. Hackermüller, S. Will, T. Best, I. Bloch, T. Costi, R. Helmes, D. Rasch, and A. Rosch, Metallic and insulating phases of repulsively interacting fermions in a 3d optical lattice , Science 322 (2008), pp. 1520–1525
2008
Cited alongside, same era.
Y.C. Cheng and G.R. Fleming, Dynamics of light harvesting in photosynthesis. , Annu. Rev. Phys. Chem. 60 (2009), pp. 241–62, Available at http://www.ncbi.nlm.nih.gov/pubmed/18999996
2009
Cited alongside, same era.
C. Hätting, Electronic Structure : Hartree-Fock and Correlation Methods , Vol. 42, 2009
2009
Cited alongside, same era.
A. de Paz”, Nonequilibrium quantum magnetism in a dipolar lattice gas , Physical Review Letters 111 (2013)
2013
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2013
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2013
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2013
Later among the works it cites.
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2009
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2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H.P. Büchler, A Rydberg quantum simulator , Nat. Phys. 6 (2010), pp. 1–7, Available at http://dx.doi.org/10.1038/nphys1614
2010
Cited alongside, same era.
C. Lacroix, P. Mendels, and F. Mila (eds.), Introduction to Frustrated Magnetism , Springer Series in Solid-State Sciences Vol. 164, 2010
2010
Cited alongside, same era.
C. Gattringer and C.B. Lang, Quantum Chromodynamics on the Lattice , Springer-Verlag, 2010
2010
Cited alongside, same era.
2013
Later among the works it cites.
O. Viehmann, J. von Delft, and F. Marquardt, Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED , Phys. Rev. Lett. 110 (2013), p. 030601
2013
Later among the works it cites.
D. Marcos, P. Rabl, E. Rico, and P. Zoller, Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields , Phys. Rev. Lett. 111 (2013), p. 110504, Available at http://link.aps.org/doi/10.1103/PhysRevLett.111.110504
2013
Later among the works it cites.
A.W. Glaetzle, M. Dalmonte, R. Nath, I. Rousochatzakis, R. Moessner, and P. Zoller, Quantum Spin-Ice and Dimer Models with Rydberg Atoms , Phys. Rev. X 4 (2014), p. 041037, Available at http://link.aps.org/doi/10.1103/PhysRevX.4.041037
2014
Later among the works it cites.
U.J. Wiese, Towards quantum simulating QCD , Nucl. Phys. A 931 (2014), pp. 246–256, Available at http://linkinghub.elsevier.com/retrieve/pii/S0375947414004849
2014
Later among the works it cites.
E. Rico, T. Pichler, M. Dalmonte, P. Zoller, and S. Montangero, Tensor Networks for Lattice Gauge Theories and Atomic Quantum Simulation , Phys. Rev. Lett. 112 (2014), p. 201601, Available at http://link.aps.org/doi/10.1103/PhysRevLett.112.201601
2014
Later among the works it cites.
L. Tagliacozzo, A. Celi, and M. Lewenstein, Tensor Networks for Lattice Gauge Theories with Continuous Groups , Phys. Rev. X 4 (2014), p. 041024, Available at http://link.aps.org/doi/10.1103/PhysRevX.4.041024
2014
Later among the works it cites.
B. Buyens, J. Haegeman, K. Van Acoleyen, H. Verschelde, and F. Verstraete, Matrix Product States for Gauge Field Theories , Phys. Rev. Lett. 113 (2014), p. 091601, Available at http://link.aps.org/doi/10.1103/PhysRevLett.113.091601
2014
Later among the works it cites.
2014
Later among the works it cites.
M. Kliesch, D. Gross, and J. Eisert, Matrix-Product Operators and States: NP-Hardness and Undecidability , Phys. Rev. Lett. 113 (2014), p. 160503, Available at http://link.aps.org/doi/10.1103/PhysRevLett.113.160503
2014
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2014
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2014
Later among the works it cites.
A.J. Daley, Quantum trajectories and open many-body quantum systems , Adv. Phys. 63 (2014), pp. 77–149, Available at http://www.tandfonline.com/doi/abs/10.1080/00018732.2014.933502
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
S. Kühn, J.I. Cirac, and M.C. Bañuls, Quantum simulation of the Schwinger model: A study of feasibility , Phys. Rev. A 90 (2014), p. 042305, Available at http://link.aps.org/doi/10.1103/PhysRevA.90.042305
2014
Later among the works it cites.
2014
Later among the works it cites.
C. Gardiner and P. Zoller, The Quantum World of Ultra-Cold Atoms and Light Book I: Foundations of Quantum Optics , Imperial College Press, 2014
2014
Later among the works it cites.
G. Pagano, M. Mancini, G. Cappellini, P. Lombardi, F. Schafer, H. Hu, X.J. Liu, J. Catani, C. Sias, M. Inguscio, and L. Fallani, A one-dimensional liquid of fermions with tunable spin , Nat Phys 10 (2014), pp. 198–201
2014
Later among the works it cites.
2014
Later among the works it cites.
A. Mezzacapo, L. Lamata, S. Filipp, and E. Solano, Many-body interactions with tunable-coupling transmon qubits , Phys. Rev. Lett. 113 (2014), p. 050501
2014
Later among the works it cites.
U. Naether, F. Quijandría, J.J. García-Ripoll, and D. Zueco, Stationary discrete solitons in circuit qed (2014)
2014
Later among the works it cites.
D. Marcos, P. Widmer, E. Rico, M. Hafezi, P. Rabl, U.J. Wiese, and P. Zoller, Two-dimensional lattice gauge theories with superconducting quantum circuits , Annals of physics 351 (2014), pp. 634–654
2014
Later among the works it cites.
G. Kurizki, P. Bertet, Y. Kubo, K. Mølmer, D. Petrosyan, P. Rabl, and J. Schmiedmayer, Quantum technologies with hybrid systems , Proc. Natl. Acad. Sci. (2015), p. 201419326, Available at http://www.pnas.org/lookup/doi/10.1073/pnas.1419326112
2015
Later among the works it cites.
2015
Later among the works it cites.
A.W. Glaetzle, M. Dalmonte, R. Nath, C. Gross, I. Bloch, and P. Zoller, Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms , Phys. Rev. Lett. 114 (2015), p. 173002, Available at http://link.aps.org/doi/10.1103/PhysRevLett.114.173002
2015
Later among the works it cites.
2015
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2015
Later among the works it cites.
2015
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2015
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J. Haegeman, K. Van Acoleyen, N. Schuch, J.I. Cirac, and F. Verstraete, Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems , Phys. Rev. X 5 (2015), p. 011024, Available at http://link.aps.org/doi/10.1103/PhysRevX.5.011024
2015
Later among the works it cites.
S. Kühn, E. Zohar, J.I. Cirac, and M.C. Bañuls, Non-Abelian string breaking phenomena with matrix product states , J. High Energy Phys. 2015 (2015), p. 130, Available at http://link.springer.com/10.1007/JHEP07(2015)130
2015
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2015
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2015
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2015
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2015
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2015
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2015
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M. Mancini, G. Pagano, G. Cappellini, L. Livi, M. Rider, J. Catani, C. Sias, P. Zoller, M. Inguscio, M. Dalmonte, and L. Fallani, Observation of chiral edge states with neutral fermions in synthetic hall ribbons , Science 349 (2015), pp. 1510–1513, Available at http://www.sciencemag.org/content/349/6255/1510.abstract
2015
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2015
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2015
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2015
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2015
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2015
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2015
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