Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions

He, Peiru; Perlin, Michael A.; Muleady, Sean R.; Lewis-Swan, Robert J.; Hutson, Ross B.; Ye, Jun; Rey, Ana María

doi:10.1103/physrevresearch.1.033075

Cited by 33 publications

(27 citation statements)

References 62 publications

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“…Systems with such a complete breakdown of locality can be highly desirable. For example, they may simulate quantum gravity via the holographic correspondence [27] and may enable the production of metrologically useful entanglement via spin squeezing [13,[28][29][30][31]. An important open question is how small α needs to be for locality to break down to a degree sufficient for realizing a particular application or particular physics.…”

Section: Introductionmentioning

confidence: 99%

Hierarchy of Linear Light Cones with Long-Range Interactions

et al. 2020

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In quantum many-body systems with local interactions, quantum information and entanglement cannot spread outside of a linear light cone, which expands at an emergent velocity analogous to the speed of light. Local operations at sufficiently separated spacetime points approximately commute-given a many-body state jψi, O x ðtÞO y jψi ≈ O y O x ðtÞjψi with arbitrarily small errors-so long as jx − yj ≳ vt, where v is finite. Yet, most nonrelativistic physical systems realized in nature have long-range interactions: Two degrees of freedom separated by a distance r interact with potential energy VðrÞ ∝ 1=r α. In systems with long-range interactions, we rigorously establish a hierarchy of linear light cones: At the same α, some quantum information processing tasks are constrained by a linear light cone, while others are not. In one spatial dimension, this linear light cone exists for every many-body state jψi when α > 3 (Lieb-Robinson light cone); for a typical state jψi chosen uniformly at random from the Hilbert space when α > 5 2 (Frobenius light cone); and for every state of a noninteracting system when α > 2 (free light cone). These bounds apply to time-dependent systems and are optimal up to subalgebraic improvements. Our theorems regarding the Lieb-Robinson and free light cones-and their tightness-also generalize to arbitrary dimensions. We discuss the implications of our bounds on the growth of connected correlators and of topological order, the clustering of correlations in gapped systems, and the digital simulation of systems with long-range interactions. In addition, we show that universal quantum state transfer, as well as manybody quantum chaos, is bounded by the Frobenius light cone and, therefore, is poorly constrained by all Lieb-Robinson bounds.

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Section: Introductionmentioning

confidence: 99%

Hierarchy of Linear Light Cones with Long-Range Interactions

et al. 2020

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“…In Section III we consider the use of control fields to address nuclear spins, finding a simple three-laser driving scheme that allows for the preparation of interesting states with nontrivial intra-spin correlations when n > 2. We consider the effect of spin-orbit coupling (SOC) induced by control fields in Section IV, finding in particular that the weak-SOC limit generally gives rise to a (synthetic) inhomogeneous magnetic field, extending previously known results to n > 2 [38,[40][41][42][43][44]. Finally, we combine these ingredients to examine mean-field dynamical behaviors of the SU(n) spin model in Section V, finding that: (i) long-time-av-eraged observables obey simple scaling relations with the spin dimension n, exhibiting (for spin-polarized initial states) dynamical ferromagnetic and dynamical paramagnetic phases, as previously seen for the case of n = 2 [45,46], and (ii) for n > 2 the long-time dynamics can be highly sensitive to the intra-spin coherences of the initial state.…”

Section: Su(n) Symmetries Play An Important Role In Physicsmentioning

confidence: 52%

“…In the spirit of quantum simulation, further investigations in controlled settings will play an important role in understanding the consequence of SU(n) symmetries for fundamental questions in physics, as well as their practical use in technological applications. For example, SU(2)-symmetric spin interactions can be harnessed to develop quantum sensors that surpass classical limits on measurement precision [38,39]. The prospect of similarly exploiting more general SU(n) symmetries to achieve a technological advantage is still an unexplored avenue of research with untapped potential.…”

Section: Su(n) Symmetries Play An Important Role In Physicsmentioning

confidence: 99%

Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice

Perlin,

Barberena,

Mamaev

et al. 2021

Preprint

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We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU(n)-symmetric interactions. We show that in an appropriate parameter regime this system can be mapped onto a spin model with all-to-all SU(n)-symmetric couplings. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling, which can act as a synthetic inhomogeneous magnetic field that competes with the SU(n) exchange interactions. We investigate the mean-field dynamical phase diagram of the resulting model as a function of n and different initial configurations that are accessible with Raman pulses. Consistent with previous studies for n = 2, we find that for some initial states the spin model exhibits two distinct dynamical phases that obey simple scaling relations with n. Moreover, for n > 2 we find that dynamical behavior can be highly sensitive to initial intra-spin coherences. Our predictions are readily testable in current experiments with ultracold alkaline-earth(-like) atoms.

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“…Strong-decoherence computations of this sort were used to put lower bounds on theoretically achievable spin squeezing via TAT with decoherence in Ref. [47], exemplifying a concrete and practical applica-tion of the TST expansion and the collective-spin structure constants calculated in this work.…”

Section: Spin Squeezing Benchmarking and Breakdownmentioning

confidence: 99%

Short-time expansion of Heisenberg operators in open collective quantum spin systems

Perlin

Rey

2020

Phys. Rev. A

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We present a new method to compute short-time expectation values in large collective spin systems with generic Markovian decoherence. Our method is based on a Taylor expansion of a formal solution to the equations of motion for Heisenberg operators. This expansion can be truncated at finite order to obtain virtually exact results at short times that are relevant for metrological applications such as spin squeezing. In order to evaluate the expansion for Heisenberg operators, we compute the relevant structure constants of a collective spin operator algebra. We demonstrate the utility of our method by computing spin squeezing, two-time correlation functions, and out-of-time-ordered correlators for 10 4 spins in strong-decoherence regimes that are otherwise inaccessible via existing numerical methods. Our method can be straightforwardly generalized to the case of a collective spin coupled to bosonic modes, relevant for trapped ion and cavity QED experiments, and may be used to investigate short-time signatures of quantum chaos and information scrambling. arXiv:1905.09475v1 [quant-ph]

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Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions

Cited by 33 publications

References 62 publications

Hierarchy of Linear Light Cones with Long-Range Interactions

Hierarchy of Linear Light Cones with Long-Range Interactions

Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice

Short-time expansion of Heisenberg operators in open collective quantum spin systems

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