Enhancing spin squeezing using soft-core interactions

Young, Jeremy T.; Muleady, Sean R.; Perlin, Michael A.; Kaufman, Adam M.; Rey, Ana María

doi:10.1103/physrevresearch.5.l012033

Cited by 10 publications

(6 citation statements)

References 85 publications

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“…2 Adiabatic Spirals: Spiraling Toward Ground States We recently showed that the Ising model with large external fields in the transverse and longitudinal directions can approximate the time evolution of the Heisenberg model at discrete time intervals [149]. This generalizes previous work showing the Ising model with a large transverse field approximates the dynamics of the XY model [150][151][152][153][154], and is related to techniques used to study pre-thermalization [155][156][157][158]. Explicitly, if a quantum simulator evolves under the Hamiltonian…”

Section: Introductionsupporting

confidence: 56%

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Ciavarella

Caspar

Illa

et al. 2023

Quantum

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An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.

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Section: Introductionsupporting

confidence: 56%

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Ciavarella

Caspar

Illa

et al. 2023

Quantum

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“…The direct observation of the emergence of OAT collective behaviors in systems with finite-range interactions is a crucial step towards integrating entanglement into the best performing clocks operating with a large particle number. While we have demonstrated the utility of spin-exchange interactions to preserve spin alignment in a 1D chain, far better protection is expected to be achieved in optical qubits trapped in higher spatial dimensions [11,[28][29][30][31], such as planar Coulomb crystals built via novel monolithic radiofrequency (rf) traps [46,47], or Penning traps [27,48], as well as in optical tweezer arrays [25,49] and 3D optical lattices [50]. In these systems, it should be possible to work with arrays of a few hundred particles or more while enjoying singleparticle control, under conditions where decoherence is limited and many-body interactions favoring spin alignment protect quantum states against external perturbations while generating scalable entanglement.…”

Section: Discussionmentioning

confidence: 96%

“…To do this, we utilize the dissipative discrete truncated Wigner approximation (DDTWA) [42,60,61] to efficiently solve for the quantum dynamics when N > 10 for these two models (otherwise, we resort to exact methods). DDTWA has previously been benchmarked for calculations of quantum spin dynamics and spin squeezing generation for various models [30,62], and affords an efficient semiclassical description of the dynamics.…”

Section: F Numerical Methodsmentioning

confidence: 99%

“…This already precludes scalable spin squeezing generation in the case of α = 1 relevant for our D = 1 experiment. Nonetheless, collective behavior in the power-law Ising model may potentially be stabilized through the appropriate addition of Heisenberg-type interactions ĤPL−Heisenberg = i<j J i,j σi • σj /2 [11,28,30,31,40], which conserve total spin for any interaction range. A key example of this is the power-law XX model ĤPL−XX = ĤPL−Heisenberg − ĤPL−Ising , which results in distancedependent exchange interactions of the form σi • σj − σz i σz j = 2(σ + i σ− j + h.c.).…”

Section: Setup and Theorymentioning

confidence: 99%

“…A possible solution to harnessing metrologically use-ful entanglement has been proposed with the suggestion that systems exhibiting short-ranged interactions could nonetheless offer an opportunity for generating entanglement for metrological applications at a level comparable to all-to-all interacting systems [11,[28][29][30][31], though such predictions inherently rely on uncontrolled approximations to the quantum many-body dynamics since exact treatments are not currently available. Here, we experimentally validate these predictions by transforming the fragile Ising interactions arising between an optical transition in a string of up to 51 trapped 40 Ca + ions coupled via power-law interactions into an XX model by applying a large transverse drive to our system.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum-enhanced sensing on an optical transition via emergent collective quantum correlations

Franke¹,

Muleady²,

Kaubruegger³

et al. 2023

Preprint

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The control over quantum states in atomic systems has led to the most precise optical atomic clocks to date [1][2][3]. Their sensitivity is currently bounded by the standard quantum limit, a fundamental floor set by quantum mechanics for uncorrelated particles, which can nevertheless be overcome when operated with entangled particles. Yet demonstrating a quantum advantage in real world sensors is extremely challenging and remains to be achieved aside from two remarkable examples, LIGO [4,5] and more recently HAYSTAC [6]. Here we illustrate a pathway for harnessing scalable entanglement in an optical transition using 1D chains of up to 51 ions with state-dependent interactions that decay as a power-law function of the ion separation. We show our sensor can be made to behave as a oneaxis-twisting (OAT) model, an iconic fully connected model known to generate scalable squeezing [7] and GHZ-like states [8][9][10][11]. The collective nature of the state manifests itself in the preservation of the total transverse magnetization, the reduced growth of finite momentum spin-wave excitations, the generation of spin squeezing comparable to OAT (a Wineland parameter [12,13] of −3.9±0.3 dB for only N = 12 ions) and the development of non-Gaussian states in the form of atomic multi-headed cat states in the Q-distribution. The simplicity of our protocol enables scalability to large arrays with minimal overhead, opening the door to advances in timekeeping as well as new methods for preserving coherence in quantum simulation and computation. We demonstrate this in a Ramseytype interferometer, where we reduce the measurement uncertainty by −3.2 ± 0.5 dB below the standard quantum limit for N = 51 ions.

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