Nonaxial shapes in the odd-odd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>194</mml:mn></mml:msup></mml:math>Au nucleus

Gao, B. S.; Zhou, XH; Fang, Y.; Zhang, Y. H.; Wang, S. C.; Zhang, N. T.; Liu, M. L.; Wang, J. G.; Guo, Y. X.; Wu, X. G.; He, C. Y.; Zheng, Y.; Wang, Z. M.; Li, S. C.; Yan, Xiao-Bo; He, L.; Wang, Z. G.; Fang, F.; Chen, X. M.

doi:10.1103/physrevc.86.054310

Cited by 20 publications

(50 citation statements)

References 25 publications

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“…In this regime the dynamics will be modified by a non-trivial time dependence, which depends on how the perturbation changes under a scale transformation, see Eq. (34). The arrows show the renormalization group flow out of the unstable fixed point.…”

Section: The Action Of Breaking Scale Symmetrymentioning

confidence: 99%

“…In this work it was argued that the breathing modes of a two dimensional Bose gas in an isotropic harmonic trap would be at exactly twice the trap frequency. Now it is known this statement is only approximately true, as the twodimensional Bose gas is not scale invariant due to the quantum anomaly [32][33][34]. Nevertheless, their result applies to any scale invariant system placed in an isotropic harmonic trap.…”

Section: Introductionmentioning

confidence: 99%

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Quantum many-body conformal dynamics: Symmetries, geometry, conformal tower states, and entropy production

Maki

Zhou

2019

Phys. Rev. A

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In this article we study the quench dynamics of Galilean and scale invariant many-body systems which can be prepared using interacting atomic gases. The far-away from equilibrium dynamics are investigated by employing m-body density matrices, which are most conveniently defined in terms of a special basis -the conformal tower states. We explicitly illustrate that, although during the initial stage of the dynamics all symmetries can be broken and absent in the unitary evolution because of the initialization of the state, there is always an emergent conformal symmetry in the long time limit. The emergence of this dynamic conformal symmetry is robust, and always occurs -even when scale and other symmetries (such as rotational symmetry) are still fully broken in the many-body states; it uniquely defines the characteristics of the asymptotic dynamics near a scale invariant strong coupling fixed point. As an immediate application of the asymptotic dynamics of the microscopic density matrices, we have focused on the effects of this emergent conformal symmetry on two observables: the moment of inertia tensor, Iij(t), i, j = x, y, z, and the entropy density field, S(r, t), in the hydrodynamic flow of strongly interacting particles. We show that the long time behaviour of these observables is completely set by conformal symmetry, while the leading long time corrections depend on interference effects between different conformal tower states. The emergent conformal symmetry naturally leads to entropy conservation, and conformal cooling, an energy conserving cooling of a strongly interacting gas during free expansion. When the interaction Hamiltonian breaks the scale symmetry, we further demonstrate that there is a direct cause-effect relation between conformal symmetry breaking in the long time limit, and a non-vanishing entropy production. This suggests that the entropy production rate is a natural parameter for categorizing the breaking of conformal symmetry. arXiv:1904.11549v1 [cond-mat.quant-gas]

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Section: The Action Of Breaking Scale Symmetrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum many-body conformal dynamics: Symmetries, geometry, conformal tower states, and entropy production

Maki

Zhou

2019

Phys. Rev. A

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“…For this reason, it is not surprising that when a classical symmetry is unexpectedly broken upon quantization, a phenomenon known as a quantum anomaly, it can create quite a stir among physicits [1]. In cold atom experiments, one such anomaly to be predicted and observed was the scale anomaly in two dimensional Fermi gases [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Virial expansion for a three-component Fermi gas in one dimension: The quantum anomaly correspondence

Maki

Ordóñez

2019

Phys. Rev. A

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In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the classical level, the three-body interaction is scale invariant in one dimension. However, upon quantization, an anomaly appears which breaks the scale invariance. This is very similar to the physics of two-component fermions in two spatial dimensions, where the two-body interaction is also anomalous. Previous studies have already hinted that the physics of these two systems are intimately related. Here we expand upon those studies by examining the thermodynamic properties of this anomalous one dimensional system in the high temperature limit. We show there is an exact mapping between the traditional two-body anomalous interaction in two dimensions, to that of three-body interaction in one dimension. This result is valid in the high temperature limit, where the thermodynamics can be understood in terms of few-body correlations.

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“…Therefore, the breathing mode frequency deviates from the classically invariant value of ω c , i.e., δω B = ω B − ω c = 0. This frequency shift is now referred to as quantum anomaly [59][60][61][62][63][64][65][66]. In our case of a resonantly interacting p-wave interaction, where the 2D scattering area disappears, we anticipate that the system may also have scale-invariant zero-energy wave-functions if there is no length scale set by interactions, and in the presence of isotropic harmonic trap it has the scale-invariant breathing mode frequency ω c .…”

Section: Introductionmentioning

confidence: 99%

Resonantly interacting p -wave Fermi superfluid in two dimensions: Tan's contact and the breathing mode

Liu

2019

Phys. Rev. A

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Nonaxial shapes in the odd-odd194Au nucleus

Cited by 20 publications

References 25 publications

Quantum many-body conformal dynamics: Symmetries, geometry, conformal tower states, and entropy production

Quantum many-body conformal dynamics: Symmetries, geometry, conformal tower states, and entropy production

Virial expansion for a three-component Fermi gas in one dimension: The quantum anomaly correspondence

Resonantly interacting p -wave Fermi superfluid in two dimensions: Tan's contact and the breathing mode

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