Periodically driven facilitated high-efficiency dissipative entanglement with Rydberg atoms

Li, Rui; Yu, Dongmin; Su, Shi‐Lei; Qian, Jing

doi:10.1103/physreva.101.042328

Cited by 30 publications

(30 citation statements)

References 60 publications

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“…More recently, Ref. [14] proposed a frequency-modulation of a periodically pump laser to achieve an accelerated formation of dissipative entangled steady state in Rydberg atoms.…”

Section: Introductionmentioning

confidence: 99%

Amplitude tuning of steady-state entanglement in strongly driven coupled qubits

2018

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In this work we report on a new mechanism to generate dissipative steady state entanglement in two coupled qubits driven by strong periodic ac fields. We show that steady entanglement can be generated at one side of a multiphoton resonance between a non-entangled ground state and an entangled excited state. The degree of entanglement can be tuned as a function of the amplitude of the periodic drive. A rich dynamic behavior with creation, death and revival of entanglement can be observed for certain parameter regimes, accessible in current experimental devices.The generation and stabilization of entanglement is one of the main challenges in quantum information applications. In recent years strategies based on the creation of steady state entanglement through engineered dissipation have been discussed theoretically [1-3] and demonstrated in experiments [4][5][6][7][8][9][10]. In this scheme, the system of interest is driven by external fields and coupled to a reservoir, developing a nontrivial non-equilibrium dynamics that leads to a highly entangled steady state. The effective relaxation rates can be tuned by adequately designing the quantum reservoir, the system-reservoir couplings or the driving protocols. Experimental demonstrations include realizations with trapped ions [4-6], atomic ensembles [7], and superconducting qubits [8][9][10]. Another strategy for entanglement stabilization are measurement based protocols, which have been implemented, for example, in coupled superconducting qubits [11][12][13][14][15].The different proposed mechanisms for driven dissipative entanglement generation utilize weak resonant drivings to tailor the relaxation processes [1-10]. However, for large amplitude periodic drivings, interesting non perturbative effects are known to exist. Among these, coherent destruction of tunneling [16][17][18], Landau-Zener-Stückelberg (LZS) interferometry [19][20][21][22][23][24][25][26][27][28] and bathmediated population inversion [11,[29][30][31] have been studied in two-level systems.Relying on these later effects, we present a new mechanism to induce steady state entanglement. Using as a test system two coupled qubits, we will demonstrate that the entanglement in the steady state can be induced and tuned by changing the amplitude of a driving periodic field. One of our main results is advanced in Fig.1(a) where we show how the concurrence (a measure of entanglement) can be increased or decreased as a function of the amplitude of the periodic driving.In this work we consider two coupled qubits with HamiltonianĤ s (t) =Ĥ 0 +V (t), wherê+ with σ (i) z,x,+,− the Pauli matrices in the Hilbert space of FIG. 1. (a) Plots of the steady state concurrence, C∞, as function of the driving amplitude A/ω for 0/ω = 3 (green line) and 0/ω = 4.1 (black line). (b) Colour map of C∞ versus A/ω and 0/ω. (c) Eigenenergies Ei of the system Hamiltonian H0 as a function of 0/ω. Along this work, we choose ∆2/∆1 = 1.5 , J/∆1 = −25 and ω/∆1 = 10. The bath temperature is taken as T b /∆1 = 0.0467 and for the bath spec...

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“…More recently, Ref. [14] proposed a frequency-modulation of a periodically pump laser to achieve an accelerated formation of dissipative entangled steady state in Rydberg atoms.…”

Section: Introductionmentioning

confidence: 99%

Amplitude tuning of steady-state entanglement in strongly driven coupled qubits

2018

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“…For two atoms, it has been predicted that through modulation induced resonances, one can engineer the parameter space for both Rydberg-blockade and anti-blockade [44][45][46]. The latter is proposed to have applications in implementing robust quantum gates [46][47][48] and accelerating the formation of dissipative entangled steady states [49]. To realize periodic driving in a Rydberg chain, either one can modulate the light field that couples the ground to the Rydberg state or applying additional radio-frequency fields.…”

Section: Introductionmentioning

confidence: 99%

Population trapping in a pair of periodically driven Rydberg atoms

Mallavarapu

Niranjan

et al. 2021

Phys. Rev. A

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We study the population trapping extensively in a periodically driven Rydberg pair. The periodic modulation of the atom-light detuning effectively suppresses the Rabi couplings and, together with Rydberg-Rydberg interactions, leads to the state-dependent population trapping. We identify a simple yet a general scheme to determine population trapping regions using driving induced resonances, the Floquet spectrum, and the inverse participation ratio. Contrary to the single atom case, we show that the population trapping in the two-atom setup may not necessarily be associated with level crossings in the Floquet spectrum. Further, we discuss under what criteria population trapping can be related to dynamical stabilization, taking specific and experimentally relevant initial states, which include both product and the maximally entangled Bell states. The behavior of the entangled states is further characterized by the bipartite entanglement entropy.

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“…The strict condition for RAB was analyzed [20,21]. RAB plays roles in the study of motional effects [22,23], dissipative dynamics [24][25][26], periodically driving [27], and quantum computation [28,29]. RAB was also studied in detection of structural phase transitions [30], Rydberg spin system [31], cold atom ensemble [32], as well as in strongly interacting Rydberg atom experiment [33].…”

Section: Introductionmentioning

confidence: 99%

“…In Fig. 1(b), we show regimes to realizing Rydberg blockade [2-4], conventional RAB with simultaneous driving [20,21,[23][24][25][26][27][28][30][31][32] as well as sequential-drivingbased RAB [29], where the excitation conditions can be * weibin.Li@nottingham.ac.uk controlled by laser detuning. When using DD interactions, the density-density as well as spin flip-flop interactions co-exist [34,35], leading to complicated many-body dynamics [36].…”

Section: Introductionmentioning

confidence: 99%

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Dipole-dipole-interaction–driven antiblockade of two Rydberg atoms

2021

Phys. Rev. A

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Resonant laser excitation of multiple Rydberg atoms are prohibited, leading to Rydberg blockade, when the long-range van der Waals interactions are stronger than the laser-atom coupling. Rydberg blockade can be violated, i.e. simultaneous excitation of more than one Rydberg atoms, by off-resonant laser excitation, causing an excitation antiblockade. Rydberg antiblockade gives rise to strongly correlated many-body dynamics and spin-orbit coupling, and also finds quantum computation applications. Instead of commonly used van der Waals interactions, we investigate antiblockade dynamics of two Rydberg atoms interacting via dipole-dipole exchange interactions. We study typical situations in current Rydberg atoms experiments, where different types of dipole-dipole interactions can be achieved by varying Rydberg state couplings. Effective Hamiltonian governing underlying antiblockade dynamics is derived. We illustrate that geometric gates can be realized with the Rydberg antiblockade which is robust against decay of Rydberg states. Our study may stimulate new experimental and theoretical exploration of quantum optics and strongly interacting many-body dynamics with Rydberg antiblockade driven by dipole-dipole interactions.

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Periodically driven facilitated high-efficiency dissipative entanglement with Rydberg atoms

Cited by 30 publications

References 60 publications

Amplitude tuning of steady-state entanglement in strongly driven coupled qubits

Amplitude tuning of steady-state entanglement in strongly driven coupled qubits

Population trapping in a pair of periodically driven Rydberg atoms

Dipole-dipole-interaction–driven antiblockade of two Rydberg atoms

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