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Spin squeezing can improve atomic precision measurements beyond the standard quantum limit (SQL), and unitary spin squeezing is essential for improving atomic clocks. We report substantial and nearly unitary spin squeezing in $^{171}$Yb, an…

This paper studies the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Gradient forces that may appear in the data can have a negative impact on the accuracy of state and control and can…

Optimization and Control · Mathematics 2022-03-07 Christian Merdon , Winnifried Wollner

It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge symmetries close for arbitrary gauge group.…

High Energy Physics - Theory · Physics 2009-11-11 D. V. Vassilevich

Investigations of spin squeezing in ensembles of quantum particles have been limited primarily to a subspace of spin fluctuations and a single spatial mode in high-spin and spatially extended ensembles. Here, we show that a wider range of…

Quantum Gases · Physics 2015-05-18 Jay D. Sau , S. R. Leslie , Marvin L. Cohen , D. M. Stamper-Kurn

Extending a previous work on spin precession in GaAs/AlGaAs quantum dots with spin-orbit coupling, we study the role of deformation in the external confinement. Small elliptical deformations are enough to alter the precessional…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Manuel Valin-Rodriguez , Antonio Puente , Llorens Serra

We propose an analogue of $\text{SU}(1,1)$ interferometry to measure rotation of a spin by using two-spin squeezed states. Attainability of the Heisenberg limit for the estimation of the rotation angle is demonstrated for maximal squeezing.…

Quantum Physics · Physics 2024-05-15 Jakub Czartowski , Karol Życzkowski , Daniel Braun

Elastic stress concentration at tips of long slender objects moving in viscoelastic fluids has been observed in numerical simulations, but despite the prevalence of flagellated motion in complex fluids in many biological functions, the…

Fluid Dynamics · Physics 2019-03-27 Chuanbin Li , Becca Thomases , Robert D. Guy

A long-lived qubit is usually well-isolated from all other systems and the environments, and so is not easy to couple with measurement apparatus. It is sometimes difficult to implement reliable projective measurements on such a qubit. One…

Quantum Physics · Physics 2015-09-30 Suguru Endo , Yuichiro Matsuzaki , William J. Munro , Shiro Saito

We consider a large class of Ramsey interferometry protocols which are enhanced by squeezing and un-squeezing operations before and after a phase signal is imprinted on the collective spin of $N$ particles. We report an analytical…

Spin noise spectroscopy is emerging as a powerful technique for studying the dynamics of various spin systems also beyond their thermal equilibrium and linear response. Here, we study spin fluctuations of room-temperature neutral atoms in a…

Atomic Physics · Physics 2021-07-21 V. Guarrera , R. Gartman , G. Bevilacqua , W. Chalupczak

The dependence of spin relaxation on the direction of the quantum wire under Rashba and Dresselhaus (linear and cubic) spin orbit coupling is studied. Comprising the dimensional reduction of the wire in the diffusive regime, the lowest spin…

Disordered Systems and Neural Networks · Physics 2012-03-13 Paul Wenk , Stefan Kettemann

The vibrational excitations of ozone, including both bending and stretching vibrations, are studied in the framework of a symmetry-adapted algebraic approach. This method is based on the isomorphism between the U(2) algebra and the…

chem-ph · Physics 2015-06-24 F. Perez-Bernal , J. M. Arias , A. Frank , R. Lemus , R. Bijker

Squeezing ensemble of spins provides a way to surpass the standard quantum limit (SQL) in quantum metrology and test the fundamental physics as well, and therefore attracts broad interest. Here we propose an experimentally accessible…

Quantum Physics · Physics 2021-04-07 Keyu Xia

We analytically investigate the one-excitation spin dynamics in a homogeneous closed spin-1/2 chain via diagonalization of the one-excitation block of the XX-Hamiltonian, which allows to derive the analytical expressions for probability…

Quantum Physics · Physics 2024-02-01 E. B. Fel'dman , E. I. Kuznetsova , A. I. Zenchuk

We provide a general formulation of the spin-orbit coupling on a 2D curved surface. Considering the wide applicability of spin-orbit effect in spinor-based condensed matter physics, a general spin-orbit formulation could aid the study of…

Mesoscale and Nanoscale Physics · Physics 2024-01-18 Seng Ghee Tan , Che Chun Huang , Mansoor B. A. Jalil , Zhuobin Siu

The relaxation of a classical spin, exchange coupled to the local magnetic moment at an edge site of the one-dimensional spinful Su-Schrieffer-Heeger model is studied numerically by solving the full set of equations of motion. A Lindblad…

Mesoscale and Nanoscale Physics · Physics 2021-01-28 Michael Elbracht , Michael Potthoff

We study the deformation of spherical conical metrics with at least some of the cone angles larger than $2\pi$. We show in this note via synthetic geometry that for one family of such metrics, there is local rigidity in the choice of cone…

Differential Geometry · Mathematics 2020-09-02 Xuwen Zhu

We investigate the exact dynamics of a system of two independent harmonic oscillators coupled through their angular momentum. The exact analytic solution of the equations of motion for the field operators is derived, and the conditions for…

Quantum Physics · Physics 2015-07-13 N. Canosa , Swapan Mandal , R. Rossignoli

Combining experiments and numerical simulations with a mechanical/statistical model of twisted yarns, we discuss the spinning transition between a cohesion-less assembly of fibers into a yarn. We show that this transition is continuous but…

Soft Condensed Matter · Physics 2022-03-02 Antoine Seguin , Jérôme Crassous

Squeezing of collective atomic spins has been shown to improve the sensitivity of atomic clocks and magnetometers to levels significantly below the standard quantum limit. In most cases the requisite atom-atom entanglement has been…