Spin squeezing a cold molecule

Bhattacharya, M.

doi:10.1103/physreva.92.063823

Cited by 4 publications

(11 citation statements)

References 83 publications

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“…(3) is the calculation of the disconnected contributions to g q T . These were shown to be small and noisy, and decrease with the quark mass [8]. The errors in the strange disconnected contribution were small enough to yield the continuum limit estimate g s T = 0.008(9) [8].…”

Section: Qcd Lagrangian and The Em Current In The Presence Of Cp Violmentioning

confidence: 90%

“…These were shown to be small and noisy, and decrease with the quark mass [8]. The errors in the strange disconnected contribution were small enough to yield the continuum limit estimate g s T = 0.008(9) [8]. In most promising BSM theories, the newCP interactions are Yukawa like, i.e., the couplings are proportional to the quark mass.…”

Section: Qcd Lagrangian and The Em Current In The Presence Of Cp Violmentioning

confidence: 96%

“…1 (left). The first lattice results for the qEDM were given in [8] and phenomenological consequences for a particular BSM theory, Split SUSY, were presented in Ref. [9].…”

Section: Qcd Lagrangian and The Em Current In The Presence Of Cp Violmentioning

confidence: 99%

“…There is an additional challenge: The CEDM operator has an UV divergent mixing with the "γ 5operator, qγ 5 q/a 2 [10]. Thus, one has to (i) calculate the matrix element of the "γ 5 -operator", which we do in the same way as for the CEDM operator, (ii) calculate a similar reweighting factor, and (iii) handle the 1/a 2 divergent mixing.…”

Section: Simulating Qcd Including Complex¨cp Cedm and γ 5 Operatorsmentioning

confidence: 99%

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The Contribution of Novel CP Violating Operators to the nEDM using Lattice QCD

et al. 2017

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Abstract. In this talk, we motivate the calculation of the matrix elements of novel CP violating operators, the quark EDM and the quark chromo EDM operators, within the nucleon state using lattice QCD. These matrix elements, combined with the bound on the neutron EDM, would provide stringent constraints on beyond the standard model physics, especially as the next generation of neutron EDM experiments reduce the current bound. We then present our lattice strategy for the calculation of these matrix elements, in particular we describe the use of the Schrodinger source method to reduce the calculation of the 4-point to 3-point functions needed to evaluate the quark chromo EDM contribution. We end with a status report on the quality of the signal obtained in the lattice calculations of the connected contributions to the quark chromo EDM operator and the pseudoscalar operator it mixes with under renormalization.

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Section: Qcd Lagrangian and The Em Current In The Presence Of Cp Violmentioning

confidence: 90%

Section: Qcd Lagrangian and The Em Current In The Presence Of Cp Violmentioning

confidence: 96%

“…1 (left). The first lattice results for the qEDM were given in [8] and phenomenological consequences for a particular BSM theory, Split SUSY, were presented in Ref. [9].…”

Section: Qcd Lagrangian and The Em Current In The Presence Of Cp Violmentioning

confidence: 99%

Section: Simulating Qcd Including Complex¨cp Cedm and γ 5 Operatorsmentioning

confidence: 99%

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The Contribution of Novel CP Violating Operators to the nEDM using Lattice QCD

et al. 2017

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“…In Ref. [2], we described the calculation of flavor-diagonal tensor charges g u T , g d T and g u+d T and analyze constrains on BSM theories using the quark EDMs and the current bound on the neutron EDM [3].…”

Section: Introductionmentioning

confidence: 99%

Nucleon charges, form-factors and neutron EDM

Gupta

Bhattacharya

Cirigliano

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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We present an update of our analysis of statistical and systematic errors in the calculation of iso-vector scalar, axial and tensor charges of the nucleon. The calculations are done using N f = 2 + 1 + 1 flavor HISQ ensembles generated by the MILC Collaboration at three values of the lattice spacing (a = 0.12, 0.09, and 0.06 fm) and three values of the quark mass (M π ≈ 310, 220 and 130 MeV); and clover fermions for calculating the correlation functions, i.e., we use a cloveron-HISQ lattice formulation. The all-mode-averaging method allows us to increase the statistics by a factor of eight for the same computational cost leading to a better understanding of and control over excited state contamination. Our current results, after extrapolation to the continuum limit and physical pion mass are g u−d A = 1.21(3), g u−d T = 1.005(59) and g u−d S = 0.95(12). Further checks of control over all systematic errors, especially in g u−d A , are still being performed. Using results for the flavor-diagonal charges, g u T , g d T and g s T , we analyze contributions of the quark electric dipole moment to the neutron EDM and the consequences for split SUSY model.

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Analogies of the classical Euler top with a rotor to spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model

Opatrný

Richterek

Opatrný

2018

Sci Rep

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We show that the classical model of Euler top (freely rotating, generally asymmetric rigid body), possibly supplemented with a rotor, corresponds to a generalized Lipkin-Meshkov-Glick (LMG) model describing phenomena of various branches of quantum physics. Classical effects such as free precession of a symmetric top, Feynman’s wobbling plate, tennis-racket instability and the Dzhanibekov effect, attitude control of satellites by momentum wheels, or twisting somersault dynamics, have their counterparts in quantum effects that include spin squeezing by one-axis twisting and two-axis countertwisting, transitions between the Josephson and Rabi regimes of a Bose-Einstein condensate in a double-well potential, and other quantum critical phenomena. The parallels enable us to expand the range of explored quantum phase transitions in the generalized LMG model, as well as to present a classical analogy of the recently proposed LMG Floquet time crystal.

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Spin squeezing a cold molecule

Cited by 4 publications

References 83 publications

The Contribution of Novel CP Violating Operators to the nEDM using Lattice QCD

The Contribution of Novel CP Violating Operators to the nEDM using Lattice QCD

Nucleon charges, form-factors and neutron EDM

Analogies of the classical Euler top with a rotor to spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model

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