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A complete set of generalized spin-squeezing inequalities is derived for an ensemble of particles with an arbitrary spin. Our conditions are formulated with the first and second moments of the collective angular momentum coordinates. A…

Quantum Physics · Physics 2015-01-27 Giuseppe Vitagliano , Iagoba Apellaniz , Inigo L. Egusquiza , Geza Toth

It is well established that the optimal spin squeezing under a one-axis-twisting Hamiltonian follows a scaling law of $J^{-2/3}$ for $J$ interacting atoms after a quench dynamics. Here we prove analytically and numerically that the spin…

Quantum Gases · Physics 2024-09-05 Jun Zhang , Sheng Chang , Wenxian Zhang

A unified tensor description of quadratic spin squeezing interactions is proposed, covering the single- and two-axis twisting as special cases of a general scheme. A closed set of equations of motion of the first moments and variances is…

Quantum Physics · Physics 2015-07-28 Tomáš Opatrný

A challenge in precision measurement with squeezed spin state arises from the spin dephasing due to stray magnetic fields. To suppress such environmental noises, we employ a continuous driving protocol, rotary echo, to enhance the spin…

Quantum Gases · Physics 2016-12-01 Jun Zhang , Yingying Han , Peng Xu , Wenxian Zhang

We establish exact results for the one-dimensional spin-orbital model for special values of the four-spin interaction $V$ and dimerization parameter $\delta$. The first exact result is at $\delta=1/2$ and $V=-2$. Because we find a very…

Statistical Mechanics · Physics 2007-05-23 M. J. Martins , B. Nienhuis

When spin relaxation is governed by spontaneous emission of a photon into the resonator used for signal detection (the Purcell effect), the relaxation time $T_1$ depends on the spin-resonator frequency detuning $\delta$ and coupling…

We study the ordering of the spin and the chirality in the fully frustrated XY model on a square lattice by extensive Monte Carlo simulations. Our results indicate unambiguously that the spin and the chirality exhibit separate phase…

Statistical Mechanics · Physics 2015-05-19 Soichirou Okumura , Hajime Yoshino , Hikaru Kawamura

We investigate the spin-squeezing behavior under thermal effects in a one-dimensional transverse field XY model with spin-1/2. The exact solution of the model helps us to compute the spin-squeezing parameter as a function of temperature and…

Quantum Physics · Physics 2024-12-09 Saeed Mahdavifar , Hadi Cheraghi , Kourosh Afrousheh

We propose a scheme for spin-squeezing in the orbital motion of a Bose-Einstein condensate (BEC) in a toroidal trap. A circular lattice couples two counter-rotating modes and squeezing is generated by the nonlinear interaction spatially…

Quantum Gases · Physics 2015-07-28 Tomáš Opatrný , Michal Kolář , Kunal K. Das

We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

A scheme to achieve spin squeezing using a geometric phase induced by a single mechanical mode is proposed. The analytical and numerical results show that the ultimate degree of spin squeezing depends on the parameter…

Quantum Physics · Physics 2015-07-22 Yan-Lei Zhang , Chang-Ling Zou , Xu-Bo Zou , Liang Jiang , Guang-Can Guo

A proton spin-polarizability characterizing backward Compton scattering has been extracted from a dispersion analysis of data between 33 and 309 MeV. This backward spin-polarizability, "delta" = 27.1 +/-2.2(stat+sys) +2.8/-2.4(model) in…

Nuclear Theory · Physics 2009-10-31 J. Tonnison , A. M. Sandorfi , S. Hoblit , A. M. Nathan

We demonstrate electrical control of the spin relaxation time T_1 between Zeeman split spin states of a single electron in a lateral quantum dot. We find that relaxation is mediated by the spin-orbit interaction, and by manipulating the…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 S. Amasha , K. MacLean , Iuliana P. Radu , D. M. Zumbuhl , M. A. Kastner , M. P. Hanson , A. C. Gossard

Spin squeezing (SS) is a recognized resource for realizing measurement precision beyond the standard quantum limit $\propto 1/\sqrt{N}$. The rudimentary one-axis twisting (OAT) interaction can facilitate SS and has been realized in diverse…

Quantum Gases · Physics 2019-10-16 Feng Chen , Jun-Jie Chen , Ling-Na Wu , Yong-Chun Liu , Li You

Efficient control of spin squeezing in a two-component Bose-Einstein Condensate is studied by rapidly turning-off the external field at a time that maximal spin squeezing appears. We show that strong reduction of spin fluctuation can be…

Quantum Physics · Physics 2011-11-10 Guang-Ri Jin , Sang Wook Kim

We propose a novel scheme for the generation of optimal squeezed states for Ramsey interferometry. The scheme consists of an alternating series of one-axis twisting pulses and rotations, both of which are straightforward to implement…

We consider the time dependent Schr\"odinger equation with a coupling spin-orbit in the semi-classical regime $\hbar\searrow 0$ and large spin number $\spin\rightarrow +\infty$ such that $\hbar^\delta\spin=c$ where $c>0$ and $\delta>0$ are…

Mathematical Physics · Physics 2024-03-22 Didier Robert

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

We establish the conditions under which scalable spin squeezing can be achieved in interacting spin ensembles embedded in arbitrary, inhomogeneous graph geometries. We identify two different forms of squeezing: OAT-like scalable squeezing…

Quantum Physics · Physics 2026-05-26 Andrea Solfanelli , Augusto Smerzi , Peter Zoller , Nicolò Defenu

We find an exact solution for the problem of electron spin relaxation in a 2D circle with Rashba spin-orbit interaction. Our analysis shows that the spin relaxation in finite-size regions involves three stages and is described by multiple…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 V. A. Slipko , Y. V. Pershin