<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">P</mml:mi><mml:mprescripts /><mml:none /><mml:mn>31</mml:mn></mml:mmultiscripts></mml:math>
 NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate

Rovny, Jared; Blum, Robert L.; Barrett, Sean

doi:10.1103/physrevb.97.184301

Cited by 80 publications

(89 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…More broadly, the isolation associated with nuclear spins in solids makes them an interesting candidate for quantum non-equilibrium studies. Coupled with the ability to perform coherent driving using radiofrequency fields, such systems also exhibit the necessary ingredients for realizing the types of Floquet evolution that can host time crystals [42,133].…”

Section: Nmr Experimentsmentioning

confidence: 99%

Discrete Time Crystals

Else

Monroe

Nayak

et al. 2020

Annu. Rev. Condens. Matter Phys.

256

176

View full text Add to dashboard Cite

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those which do not thermalize under their own isolated quantum dynamics. In this review, we highlight the possibility for such systems to exhibit new non-equilibrium phases of matter. In particular, we focus on "discrete time crystals", which are many-body phases of matter characterized by a spontaneously broken discrete time translation symmetry. We give a definition of discrete time crystals from several points of view, emphasizing that they are a non-equilibrium phenomenon, which is stabilized by many-body interactions, with no analog in non-interacting systems. We explain the theory behind several proposed models of discrete time crystals, and compare a number of recent realizations, in different experimental contexts.

show abstract

Section: Nmr Experimentsmentioning

confidence: 99%

Discrete Time Crystals

Else

Monroe

Nayak

et al. 2020

Annu. Rev. Condens. Matter Phys.

256

176

View full text Add to dashboard Cite

show abstract

“…In this quest for phases of quantum matter without equilibrium counterpart, time crystals (TCs) represent a promising candidate for a novel form of dynamical order out-of-equilibrium. In TCs, observables dynamically entrain at a frequency subharmonic of the one imposed by an external periodic drive [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], and they have been currently realized with trapped ions [19] and solid state systems [20][21][22]. In most previous studies, TCs are realized in closed interacting quantum many-body systems, which are prone to heating towards an infinite temperature state under the action of periodic drive [23,24], therefore, a slowdown of energy absorption is customarily entailed via a disorder induced many-body localized phase [25][26][27][28], or by fast driving [8,[29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Dicke time crystals in driven-dissipative quantum many-body systems

et al. 2019

View full text Add to dashboard Cite

The Dicke model-a paradigmatic example of superradiance in quantum optics-describes an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of the cooperative nature of these interactions, the system's dynamics is captured by the behavior of a single mean-field, collective spin. In this mean-field limit, it has recently been shown that the interplay between photon losses and periodic driving of light-matter coupling can lead to time-crystalline-like behavior of the collective spin (Gong et al 2018 Phys. Rev. Lett. 120 040404). In this work, we investigate whether such a Dicke time crystal (TC) is stable to perturbations that explicitly break the mean-field solvability of the conventional Dicke model. In particular, we consider the addition of short-range interactions between the atoms which breaks the collective coupling and leads to complex many-body dynamics. In this context, the interplay between periodic driving, dissipation and interactions yields a rich set of dynamical responses, including long-lived and metastable Dicke-TCs, where losses can cool down the many-body heating resulting from the continuous pump of energy from the periodic drive. Specifically, when the additional short-range interactions are ferromagnetic, we observe time crystalline behavior at nonperturbative values of the coupling strength, suggesting the possible existence of stable dynamical order in a driven-dissipative quantum many-body system. These findings illustrate the rich nature of novel dynamical responses with many-body character in quantum optics platforms.

show abstract

“…DTCs have also been independently proposed in periodically driven spin-1/2 chain systems by other groups [14][15][16][17], which have stimulated follow up studies [18][19][20][21][22][23] and several experimental realizations [24][25][26][27][28]. The original proposal in Ref.…”

Section: Introductionmentioning

confidence: 99%

Discrete time crystals in many-body quantum chaos

Nurwantoro¹,

Bomantara²,

Gong³

2019

Phys. Rev. B

View full text Add to dashboard Cite

Discrete time crystals (DTCs) are new phases of matter characterized by the presence of an observable evolving with nT periodicity under a T -periodic Hamiltonian, where n > 1 is an integer insensitive to small parameter variations. In particular, DTCs with n = 2 have been extensively studied in periodically quenched and kicked spin systems in recent years. In this paper, we study the emergence of DTCs from the many-body quantum chaos perspective, using a rather simple model depicting a harmonically driven spin chain. We advocate to first employ a semiclassical approximation to arrive at a mean-field Hamiltonian and then identify the parameter regime at which DTCs exist, with standard tools borrowed from studies of classical chaos. Specifically, we seek symmetric-breaking solutions by examining the stable islands on the Poincaré surface of section of the mean-field Hamiltonian. We then turn to the actual many-body quantum system, evaluate the stroboscopic dynamics of the total magnetization in the full quantum limit, and verify the existence of DTCs. Our effective and straightforward approach indicates that in general DTCs are one natural aspect of many-body quantum chaos with mixed classical phase space structure.Our approach can also be applied to general time-periodic systems, which is thus promising for finding DTCs with n > 2 and opening possibilities for exploring DTCs properties beyond their time-translational breaking features.

show abstract

P31 NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate

Cited by 80 publications

References 49 publications

Discrete Time Crystals

Discrete Time Crystals

Dicke time crystals in driven-dissipative quantum many-body systems

Discrete time crystals in many-body quantum chaos

Contact Info

Product

Resources

About