Fetching the paper…
Reading the bibliography…
Spontaneous symmetry breaking is responsible for rich quantum phenomena from crystalline structures to superconductivity.
1902
Earlier work this paper cites.
1907
Earlier work this paper cites.
M. A. Ruderman and C. Kittel, “Indirect exchange coupling of nuclear magnetic moments by conduction electrons,” Phys. Rev. 96
1954
Earlier work this paper cites.
Tadao Kasuya, “A theory of metallic ferro- and antiferromagnetism on zener’s model,” Progress of Theoretical Physics 16
1956
Earlier work this paper cites.
Kei Yosida, “Magnetic properties of cu-mn alloys,” Phys. Rev. 106
1957
Earlier work this paper cites.
N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, Phys. Lett. A 238
1998
Earlier work this paper cites.
N.Nagaosa, Quantum Field Theory in Strongly Correlated Electronic Systems ( Springer, Berlin, 1999)
1999
Earlier work this paper cites.
Lode Pollet, Kris Van Houcke, and Stefan M. A. Rombouts, J. Comp. Phys 225
2007
Earlier work this paper cites.
F. F. Assaad and T. C. Lang, “Diagrammatic determinantal quantum monte carlo methods: Projective schemes and applications to the hubbard-holstein model,” Phys. Rev. B 76
2007
Earlier work this paper cites.
S.I. Mukhin, J. Supercond. Nov. Magn 22
2009
Earlier work this paper cites.
Anders W. Sandvik, “Computational studies of quantum spin systems,” AIP Conference Proceedings 1297
2010
Earlier work this paper cites.
Victor Galitski, “Nonperturbative quantum dynamics of the order parameter in the bcs pairing model,” Phys. Rev. B 82
2010
Earlier work this paper cites.
J. T. Barreiro, M. Müller, P. Schindler, D. Nigg, Thomas Monz, Michael Chwalla, Markus Hennrich, Christian F. Roos, Peter Zoller, and Rainer Blatt, Nature 470
2011
Earlier work this paper cites.
Frank Wilczek, “Quantum time crystals,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Alfred Shapere and Frank Wilczek, “Classical time crystals,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Tongcang Li, Zhe-Xuan Gong, Zhang-Qi Yin, H. T. Quan, Xiaobo Yin, Peng Zhang, L.-M. Duan, and Xiang Zhang, “Space-time crystals of trapped ions,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Frank Wilczek, “Superfluidity and space-time translation symmetry breaking,” Phys. Rev. Lett. 111
2013
Cited alongside, same era.
Patrick Bruno, “Impossibility of spontaneously rotating time crystals: A no-go theorem,” Phys. Rev. Lett. 111
2013
Cited alongside, same era.
Zi Cai, Ulrich Schollwöck, and Lode Pollet, “Identifying a bath-induced bose liquid in interacting spin-boson models,” Phys. Rev. Lett. 113
Vedika Khemani, C. W. von Keyserlingk, and S. L. Sondhi, “Defining time crystals via representation theory,” Phys. Rev. B 96
2017
Later among the works it cites.
Angelo Russomanno, Fernando Iemini, Marcello Dalmonte, and Rosario Fazio, “Floquet time crystal in the lipkin-meshkov-glick model,” Phys. Rev. B 95
2017
Later among the works it cites.
Soonwon Choi, Renate Landig, Georg Kucsko, Hengyun Zhou, Junichi Isoya, Fedor Jelezko, Shinobu Onoda, Hitoshi Sumiya, Vedika Khemani, Curt von Keyserlingk, Norman Y. Yao, Eugene Demler, and Mikhail D. Lukin, “Observation of discrete time-crystalline order in a disordered dipolar many-body system,” Nature 543
2017
Later among the works it cites.
J. Zhang, P. W. Hess, A. Kyprianidis, P. Becker, A. Lee, J. Smith, G. Pagano, I.-D. Potirniche, A. C. Potter, A. Vishwanath, N. Y. Yao, and C. Monroe, “Observation of a discrete time crystal,” Nature 543
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2014
Cited alongside, same era.
Krzysztof Sacha, “Modeling spontaneous breaking of time-translation symmetry,” Phys. Rev. A 91
2015
Cited alongside, same era.
Haruki Watanabe and Masaki Oshikawa, “Absence of quantum time crystals,” Phys. Rev. Lett. 114
2015
Cited alongside, same era.
Dominic V. Else, Bela Bauer, and Chetan Nayak, “Floquet time crystals,” Phys. Rev. Lett. 117
2016
Cited alongside, same era.
Vedika Khemani, Achilleas Lazarides, Roderich Moessner, and S. L. Sondhi, “Phase structure of driven quantum systems,” Phys. Rev. Lett. 116
2016
Cited alongside, same era.
N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vishwanath, “Discrete time crystals: Rigidity, criticality, and realizations,” Phys. Rev. Lett. 118
2017
Cited alongside, same era.
Andrzej Syrwid, Jakub Zakrzewski, and Krzysztof Sacha, “Time crystal behavior of excited eigenstates,” Phys. Rev. Lett. 119
2017
Cited alongside, same era.
2017
Later among the works it cites.
Hannes Bernien, Sylvain Schwartz, Alexander Keesling, Harry Levine, Ahmed Omran, Hannes Pichler, Soonwon Choi, Alexander S. Zibrov, Manuel Endres, Markus Greiner, Vladan Vuletic, and Mikhail D. Lukin, “Probing many-body dynamics on a 51-atom quantum simulator,” Nature 551
2017
Later among the works it cites.
Manuel Weber, Fakher F. Assaad, and Martin Hohenadler, “Directed-loop quantum monte carlo method for retarded interactions,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
Zongping Gong, Ryusuke Hamazaki, and Masahito Ueda, “Discrete time-crystalline order in cavity and circuit qed systems,” Phys. Rev. Lett. 120
2018
Later among the works it cites.
Biao Huang, Ying-Hai Wu, and W. Vincent Liu, “Clean floquet time crystals: Models and realizations in cold atoms,” Phys. Rev. Lett. 120
2018
Later among the works it cites.
Krzysztof Sacha and Jakub Zakrzewski, “Time crystals: a review,” Reports on Progress in Physics 81
2018
Later among the works it cites.
F. Iemini, A. Russomanno, J. Keeling, M. Schirò, M. Dalmonte, and R. Fazio, “Boundary time crystals,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
S. I. Mukhin and T. R. Galimzyanov, “Classes of metastable thermodynamic quantum time crystals,” Phys. Rev. B 100
2019
Closest in time.