Quantum time crystals.
By Frank Wilczek. Physical Review Letters, 2012
724 citations recorded by the source corpus.
Some subtleties and apparent difficulties associated with the notion of spontaneous breaking of time-translation symmetry in quantum mechanics are identified and resolved. A model exhibiting that phenomenon is displayed. The possibility and significance of breaking of imaginary time-translation symmetry is discussed.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/ac53974e77615218dad62c92eecff78525d377c0
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In Atomic and Molecular Physics, and Optics
- Andrew C. Potter
- D. Else
- Bela Bauer
- C. Nayak
- Norman Y. Yao
- L. Rademaker
- G. Paraoanu
- Jasper van Wezel
Citations in the corpus
- Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “The idea of time crystals that spontaneously break continuous timetranslation symmetry was first proposed by Wilczek and Shapere [34, 35], but finding a satisfactory equilibrium model has proven difficult and some no-go theorems exist [36–42].”
- Observation of a discrete time crystal (2016, background): “After many periods of the above Floquet unitary Eq.(2), we measure the magnetization of each spin along x, which gives the timecorrelation function”
- The Quantum Vacuum (2014, background): “Can then one use the quantum vacuum as a clock? This is a fascinating dispute in condensedmatter physics (Wilczek, 2012), formulated as the problem of existence of time crystals.”
- An introduction to spontaneous symmetry breaking (2019, background): “time crystal Soon after Wilczek proposed this idea [123], however, it was pointed out that spontaneous breaking of time translation symmetry is fundamentally impossible in any equilibrium state of matter [124,125].”
- Odd-frequency superconductivity (2017, background): “, and spin nematics (Balatsky and Abrahams, 1995) and will be summarized in Sec. VI. Another example of dynamic orders discussed in the literature are so called time crystals (tX) (Choi et al., 2017; Wilczek, 2012; Zhang et al., 2017). There is a possible connection between odd-w pairing and tX. In ”