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Spontaneous symmetry breaking is a fundamental concept in many areas of physics, ranging from cosmology and particle physics to condensed matter.
Principles of Condensed Matter Physics , vol. 1 (Cambridge University Press, 1995)
Chaikin, P. & Lubensky, T · 1995
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Quantum Phase Transitions (Cambridge Univ. Press, Cambridge, 1999)
Sachdev, S · 1999
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Effective quantum spin systems with trapped ions
Porras, D. & Cirac, J. I · 2004
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Arbitrarily accurate composite pulse sequences
Brown, K. R., Harrow, A. W. & Chuang, I. L · 2004
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Manipulation and detection of a trapped Yb + hyperfine qubit
Olmschenk, S. et al · 2007
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Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes
Kim, K. et al · 2009
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Entanglement of atomic qubits using an optical frequency comb
Hayes, D. et al · 2010
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Quantum time crystals
Wilczek, F · 2012
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Superfluidity and space-time translation symmetry breaking
Wilczek, F · 2013
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Comment on “quantum time crystals”
Bruno, P · 2013
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Impossibility of spontaneously rotating time crystals: A no-go theorem
Bruno, P · 2013
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Long-time behavior of isolated periodically driven interacting lattice systems
D’Alessio, L. & Rigol, M · 2014
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Many-body localization in dipolar systems
Yao, N. Y. et al · 2014
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Absence of quantum time crystals
Watanabe, H. & Oshikawa, M · 2015
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Many-body localization and thermalization in quantum statistical mechanics
Nandkishore, R. & Huse, D. A · 2015
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Periodically driven ergodic and many-body localized quantum systems
Ponte, P., Chandran, A., Papic, Z. & Abanin, D. A · 2015
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Localization in a random xy model with long-range interactions: Intermediate case between single-particle and many-body problems
Burin, A. L · 2015
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Pre-thermal time crystals and floquet topological phases without disorder
Else, D. V., Bauer, B. & Nayak, C · 2016
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Many-body localization in a quantum simulator with programmable random disorder
Smith, J. et al · 2016
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Engineering large stark shifts for control of individual clock state qubits
Lee, A. C. et al · 2016
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Stability and instability towards delocalization in mbl systems
De Roeck, W. & Huveneers, F · 2016
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Periodically Driving a Many-Body Localized Quantum System
Bordia, P. & Luschen, H. & Schneider, U. & Kanp, M. & Bloch, I · 2016
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Phase structure of driven quantum systems
Khemani, V., Lazarides, A., Moessner, R. & Sondhi, S. L · 2016
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Floquet time crystals
Else, D. V., Bauer, B. & Nayak, C · 2016
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Absolute stability and spatiotemporal long-range order in floquet systems
von Keyserlingk, C. W., Khemani, V. & Sondhi, S. L · 2016
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Discrete time crystals: rigidity, criticality, and realizations
Yao, N. Y., Potter, A. C., Potirniche, I.-D. & Vishwanath, A · 2016
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Atomic quantum gases in periodically driven optical lattices
Eckardt, A · 2016
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This phase is also referred to as a π \pi -spin glass 7 or a Floquet time crystal 8
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Phase structure of one-dimensional interacting floquet systems. i. abelian symmetry-protected topological phases
von Keyserlingk, C. W. & Sondhi, S. L · 2016
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Classification of topological phases in periodically driven interacting systems
Else, D. V. & Nayak, C · 2016
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Phase structure of one-dimensional interacting floquet systems. ii. symmetry-broken phases
von Keyserlingk, C. W. & Sondhi, S. L · 2016
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Topological classification of interacting 1D Floquet phases
Potter, A. C. & Morimoto, T. & Vishwanath, A · 2016
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Abelian Floquet symmetry-protected topological phases in one dimension
Roy, R. & Harper, F · 2016
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Localization and topology protected quantum coherence at the edge of hot matter
Bahri, Y. & Vosk, R. & Altman, E. & Vishwanath, A · 2016
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