Genuine multipartite correlations in a boundary time crystal

Lourenço, Antônio C.; Prazeres, Luis Fernando dos; Maciel, Thiago O.; Iemini, Fernando; Duzzioni, E. I.

doi:10.1103/physrevb.105.134422

Cited by 11 publications

(4 citation statements)

References 68 publications

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“…For what concerns the atoms, it shows features which are similar to those of the boundary time-crystal. That is, we observe spin-squeezing in the stationary regime, and absence of quantum correlations among the atoms in the oscillatory phase [38,52,53,[55][56][57][58]. However, explicitly considering the light field allowed us to uncover the existence of genuine quantum correlations in the timecrystal regime, even though the latter is characterized by a mixed state, established between atoms and light field.…”

Section: Discussionmentioning

confidence: 83%

“…It consists of a collective many-body spin model which allows for both efficient numerical simulations [43][44][45][46][47][48] and exact analytical solutions [38,[49][50][51][52][53][54]. This model features quantum correlations between spins in its stationary phase -witnessed by non-zero spin-squeezing and two-qubit entanglementbut only classical correlations in the time-crystal regime [38,52,53,[55][56][57][58], which is described by highly mixed and effectively classical states [39,52,53,59]. It thus remains an open question whether (boundary) time-crystal phases can host quantum effects or whether these phases are essentially purely classical dynamical regimes.…”

Section: Introductionmentioning

confidence: 99%

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Entangled time-crystal phase in an open quantum light-matter system

Mattes,

Lesanovsky,

Carollo

2023

Phys. Rev. A

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Section: Discussionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Entangled time-crystal phase in an open quantum light-matter system

Mattes,

Lesanovsky,

Carollo

2023

Phys. Rev. A

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“…In spite of a variety of possible mechanisms underlying their emergence, a common feature is the presence of asymptotic oscillations in some observable of the system [1][2][3]. Such oscillations either break a discrete time-symmetry, by displaying a period which is a multiple of the driving period [4][5][6][7][8][9][10][11][12][13][14][15][16][17], or a continuous time-symmetry [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], by approaching a limit cycle under time-independent driving [33]. The boundary time-crystal (BTC) is a paradigmatic example of (continuous) dissipative time-crystal [18].…”

mentioning

confidence: 99%

Continuous Sensing and Parameter Estimation with the Boundary Time Crystal

Cabot,

Carollo,

Lesanovsky

2024

Phys. Rev. Lett.

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A boundary time-crystal is a quantum many-body system whose dynamics is governed by the competition between coherent driving and collective dissipation. It is composed of N two-level systems and features a transition between a stationary phase and an oscillatory one. The fact that the system is open allows to continuously monitor its quantum trajectories and to analyze their dependence on parameter changes. This enables the realization of a sensing device whose performance we investigate as a function of the monitoring time T and of the system size N . We find that the best achievable sensitivity is proportional to √ T N , i.e., it follows the standard quantum limit in time and Heisenberg scaling in the particle number. This theoretical scaling can be achieved in the oscillatory time-crystal phase and it is rooted in emergent quantum correlations. The main challenge is, however, to tap this capability in a measurement protocol that is experimentally feasible. We demonstrate that the standard quantum limit can be surpassed by cascading two time-crystals, where the quantum trajectories of one time-crystal are used as input for the other one.

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“…There are two recently introduced concepts, dissipative time crystals [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] , which are systems that have persistent oscillations induced by the dissipation, and boundary time crystals [47][48][49][50][51] , which have persistent oscillations in the thermodynamic limit, only (cf. discrete, driven versions of time crystals under dissipation [52][53][54][55][56][57][58] and other non-stationary phenomena beyond observables [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74] ).…”

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confidence: 99%

Exact multistability and dissipative time crystals in interacting fermionic lattices

Alaeian

Buča

2022

Commun Phys

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The existence of multistability in quantum systems beyond the mean-field approximation remains an intensely debated open question. Quantum fluctuations are finite-size corrections to the mean-field as the full exact solution is unobtainable and they usually destroy the multistability present on the mean-field level. Here, by identifying and using exact modulated dynamical symmetries in a driven-dissipative fermionic chain we exactly prove multistability in the presence of quantum fluctuations. Further, unlike common cases in our model, rather than destroying multistability, the quantum fluctuations themselves exhibit multistability, which is absent on the mean-field level for our systems. Moreover, the studied model acquires additional thermodynamic dynamical symmetries that imply persistent periodic oscillations, constituting the first case of a boundary time crystal,to the best of our knowledge, a genuine extended many-body quantum system with the previous cases being only in emergent single- or few-body models. The model can be made into a dissipative time crystal in the limit of large dissipation (i.e. the persistent oscillations are stabilized by the dissipation) making it both a boundary and dissipative time crystal.

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Genuine multipartite correlations in a boundary time crystal

Cited by 11 publications

References 68 publications

Entangled time-crystal phase in an open quantum light-matter system

Entangled time-crystal phase in an open quantum light-matter system

Continuous Sensing and Parameter Estimation with the Boundary Time Crystal

Exact multistability and dissipative time crystals in interacting fermionic lattices

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