Nucleon-antinucleon annihilation at large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>

Cohen, Thomas D.; McPeak, Brian; Offertaler, Bendeguz

doi:10.1103/physrevc.92.015204

Cited by 3 publications

(6 citation statements)

References 35 publications

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“…σ can be continuously varied between 0 and 3 with laser detuning ∆ [11,12]. To generate XXZ interactions, we move to another interaction picture with respect to [23,24]. In the RWA, where J eff 0 Ω , we find the effective Hamiltonian in the rotated basis…”

Section: Tunablity Of the Critical Exponents Of Long-range Quantum Spmentioning

confidence: 99%

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Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions

2019

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Quantum phase transitions are usually classified into discrete universality classes that typically only depend on symmetries and spatial dimensionalities. In this article, we demonstrate an opportunity to continuously vary the critical exponents or universalities by tuning experimental parameters in a given physical system. Particularly, we show that critical exponents in long-range spin systems simulated in ion traps can be tuned with laser detuning. We suggest that such experiments also effectively simulate some aspects of critical phenomena in conventional spin systems but in artificial non-integer spatial dimensions.

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Section: Tunablity Of the Critical Exponents Of Long-range Quantum Spmentioning

confidence: 99%

“…Noticing that the effective Hamiltonian is in the second interaction picture, one needs to follow the procedures described in Ref. [24] to measure the magnetization.…”

Section: Tunablity Of the Critical Exponents Of Long-range Quantum Spmentioning

confidence: 99%

Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions

2019

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“…We show how the new technique can be used for magnetmetry, where the enhanced coherence time gives rise to a better sensitivity. Furthermore, we note that this new dynamical decoupling scheme might be utilized for increasing the coherence time and the fidelity of dressed state based entangling gates [22,23] and dressed state based quantum simulations [24][25][26], for both trapped ions and nitrogen-vacancy defects in diamond.…”

Section: Original Papermentioning

confidence: 99%

“…However, the new energy gap suffers from Rabi frequency fluctuations, resulting in additional noise which is not compensated for. One way to overcome this problem is known as concatenated continuous dynamical decoupling [21][22][23][24][25][26], in which a smaller perpendicular energy gap is opened iteratively in each stage to compensate for the Rabi frequency noise of the previous dressing field. As a result we are left with the Rabi frequency noise of the last dressing fields, which is reduced.…”

Section: Introductionmentioning

confidence: 99%

Continuous dynamical decoupling utilizing time‐dependent detuning

Cohen

Aharon

Retzker

2016

Fortschritte der Physik

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The coherence times achieved with continuous dynamical decoupling techniques are often limited by fluctuations in the driving amplitude. In this work, we use time-dependent phase-modulated continuous driving to increase the robustness against such fluctuations in a dense ensemble of nitrogen-vacancy centers in diamond. Considering realistic experimental errors in the system, we identify the optimal modulation strength, and demonstrate an improvement of an order of magnitude in the spin-preservation of arbitrary states over conventional single continuous driving. The phase-modulated driving exhibits comparable results to previously examined amplitude-modulated techniques, and is expected to outperform them in experimental systems having higher phase accuracy. The proposed technique could open new avenues for quantum information processing and many body physics, in systems dominated by high-frequency spin-bath noise, for which pulsed dynamical decoupling is less effective. PACS numbers: 76.30.Mi One of the main challenges in quantum information processing, quantum computing and quantum sensing is the preservation of arbitrary spin states. For example, the sensitivity of nitrogen-vacancy (NV) ensemble-based AC magneteometry scales as a square-root of the coherence time [1-8]. Moreover, long ensemble spin coherence times could open new avenues for studying many body dynamics of interacting spins [9-11]. The commonly used technique for improving coherence times and preserving arbitrary states is dynamical decoupling (DD) sequences [12-18]. Although pulsed DD is very efficient for a variety of physical systems, continuous driving-based decoupling (i.e. spin-lock) has an advantage when the power spectrum of the noise bath contains a significant contribution from high-frequency terms, such that relevant correlation times are shorter than the duty cycle achievable by pulsed techniques [15, 16]. However, in these continuous schemes, amplitude fluctuations of the driving source itself limit the achieved coherence times, raising the need for a fault tolerant driving [16, 18-23]. One common approach for overcoming fluctuations in the driving amplitude is to flip the phase of the continuous driving every time increment τ (i.e., to apply a "rotary echo", [24]). However, in the basis of the dressed states, these techniques are equivalent to pulsed DD, having the same disadvantages, such as additional imperfections due to the application of non-ideal pulses, and the disability of mitigating amplitude fluctuations that are faster than the flipping rate 1/τ. Another approach for overcoming these fluctuations is to apply an additional continuous driving in the perpendicular axis [Fig. 1(a)]. In order to avoid the use of an extra microwave (MW) source, the same effective Hamiltonian can be generated by a time-dependent modulation of the amplitude or phase of the original driving. Recently, such time-dependent amplitude modulation was experimentally demonstrated in a system of single isolated NV centers, achieving an order of magnitu...

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“…1.Introduction Yang and Mills, in 1954 for the first time, generalized the Abelian U(1) gauge theory to non-Abelian SU (2) gauge theory to give a strong interaction theory [1]. This theory now has be greatly developed and is viewed as the powerful and useful Yang-Mills gauge field theory.…”

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confidence: 99%

General intrinsic theory of general large $N_{c}$ QCD, SU(3) QCD, SU(2) hadron-dynamics and U(1) QED gauge field theories in general field theory and progress towards solving the nucleon spin crisis

Huang,

Zhou

2016

Preprint

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This paper gives general intrinsic theory of general large Nc QCD, SU(3) QCD, SU(2) hadrondynamics and U(1) QED gauge field theories in general field theory and progress towards solving the nucleon spin crisis, i.e., presents general large Nc QCD's inner structures, gauge invariant angular momenta and new corresponding Coulomb theorem in quark-gluon field interaction systems based on general field theory, and naturally deduces the gauge invariant spin and orbital angular momentum operators of quark and gauge fields with SU (Nc) gauge symmetry by Noether theorem in general field theory. In the general large Nc QCD, we discover not only the general covariant transverse and parallel conditions ( namely, non-Abelian divergence and curl ), but also that this general system has good intrinsic symmetry characteristics. Specially, this paper's generally decomposing gauge potential theory presents a new technique, it should play a votal role in future physics research. Therefore, this paper breakthroughs the some huge difficulties in the nucleon spin crisis and opens a door of researching on lots of strong interacting systems with different symmetric properties, which is popularly interesting, and keeps both the gauge invariance and their angular momentum commutation relations so that their theories are consistent. Especially, the achieved results here can be utilized to calculate the general QCD strong interactions and to give the precise predictions that can be exactly measured by current particle physics experiments due to their gauge invariant properties etc.

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Nucleon-antinucleon annihilation at largeNc

Cited by 3 publications

References 35 publications

Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions

Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions

Continuous dynamical decoupling utilizing time‐dependent detuning

General intrinsic theory of general large $N_{c}$ QCD, SU(3) QCD, SU(2) hadron-dynamics and U(1) QED gauge field theories in general field theory and progress towards solving the nucleon spin crisis

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