Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases

• URL: http://arxiv.org/abs/2211.10436v1
• Date: Fri, 18 Nov 2022 18:58:06 GMT
• Title: Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases
• Authors: Karol Gietka and Helmut Ritsch
• Abstract summary: We show that quadratic scaling with the number of atoms can be facilitated via squeezed center-of-mass excitations of the atomic motion. We identify corresponding optimal measurements and argue that even finite temperature as a source of decoherence is, in principle, rather favorable for the obtainable precision scaling.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We predict that exploiting spin-orbit coupling in a harmonically trapped spinor quantum gas can lead to scaling of the optimal measurement precision beyond the Heisenberg scaling. We show that quadratic scaling with the number of atoms can be facilitated via squeezed center-of-mass excitations of the atomic motion using a 1D spin-orbit coupled fermions or strongly interacting bosons (Tonks-Girardeau gas). Based on predictions derived from analytic calculations of the corresponding quantum Fisher information, we then introduce a protocol which overcomes the Heisenberg scaling (and limit) with help of a tailored excited and entangled many-body state of a non-interacting Bose-Einstein condensate. We identify corresponding optimal measurements and argue that even finite temperature as a source of decoherence is, in principle, rather favorable for the obtainable precision scaling.

Related papers

• Super-Heisenberg scaling in a triple point criticality [2.7963250184347745]
  We develop adiabatic evolution protocols approaching a final point around the triple point to restrain excitations and lead to an exponential super-Heisenberg scaling. This scaling behavior is quite valuable in practical parameter estimating experiments with limited coherence time.
  arXiv  Detail & Related papers  (2024-09-21T07:27:59Z)
• Achieving Heisenberg scaling by probe-ancilla interaction in quantum metrology [0.0]
  Heisenberg scaling is an ultimate precision limit of parameter estimation allowed by the principles of quantum mechanics. We show that interactions between the probes and an ancillary system may also increase the precision of parameter estimation to surpass the standard quantum limit. Our protocol features in two aspects: (i) the Heisenberg scaling can be achieved by a product state of the probes, (ii) mere local measurement on the ancilla is sufficient.
  arXiv  Detail & Related papers  (2024-07-23T23:11:50Z)
• Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
  We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
  arXiv  Detail & Related papers  (2024-06-26T18:27:15Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Scalable spin squeezing in a dipolar Rydberg atom array [2.392520546501394]
  We show how to enhance the precision of measurements beyond the standard quantum limit. To do so, one can reshape the quantum projection noise -- a strategy known as squeezing. We present two independent refinements: first, using a multistep spin-squeezing protocol allows us to further enhance the squeezing by approximately 1 dB, and second, leveraging Floquet engineering to realize Heisenberg interactions.
  arXiv  Detail & Related papers  (2023-03-14T16:35:17Z)
• Scalable Spin Squeezing from Finite Temperature Easy-plane Magnetism [26.584014467399378]
  We conjecture that any Hamiltonian exhibiting finite temperature, easy-plane ferromagnetism can be used to generate scalable spin squeezing. Our results provide insights into the landscape of Hamiltonians that can be used to generate metrologically useful quantum states.
  arXiv  Detail & Related papers  (2023-01-23T18:59:59Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Dynamic quantum-enhanced sensing without entanglement in central spin systems [1.9888283697653608]
  We propose a quantum many-spin system composed of a central spin interacting with many surrounding spins. We find that the Heisenberg scaling can be reached while the probe state only needs to be a product state. Our result indicates that the dynamic quantum-enhanced sensing scheme seems feasible in realistic quantum central spin systems.
  arXiv  Detail & Related papers  (2022-04-30T15:24:21Z)
• Global Heisenberg scaling in noisy and practical phase estimation [52.70356457590653]
  Heisenberg scaling characterizes the ultimate precision of parameter estimation enabled by quantum mechanics. We study the attainability of strong, global notions of Heisenberg scaling in the fundamental problem of phase estimation.
  arXiv  Detail & Related papers  (2021-10-05T06:57:55Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Precision tomography of a three-qubit donor quantum processor in silicon [38.42250061908039]
  Nuclear spins were among the first physical platforms to be considered for quantum information processing. We demonstrate universal quantum logic operations using a pair of ion-implanted 31P donor nuclei in a silicon nanoelectronic device.
  arXiv  Detail & Related papers  (2021-06-06T10:30:38Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.