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首页> 外文期刊>Physical review, C >Microscopic description of pair transfer between two superfluid Fermi systems. II. Quantum mixing of time-dependent Hartree-Fock-Bogolyubov trajectories
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Microscopic description of pair transfer between two superfluid Fermi systems. II. Quantum mixing of time-dependent Hartree-Fock-Bogolyubov trajectories

机译：两种超流量FERMI系统之间对传输的微观描述。 II。 量子混合时间依赖的Hartree-Fock-Bogyubov轨迹

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摘要

While superfluidity is accurately grasped with a state that explicitly breaks the particle number symmetry, a precise description of phenomena such as the particle transfer during heavy-ion reactions can only be achieved by considering systems with good particle numbers. We investigate the possibility to restore particle number in many-body dynamical problems by mixing up several time-dependent Hartree-Fock-Bogolyubov (TDHFB) trajectories. In our approach, each trajectory is independent from the others and the quantum mixing between trajectories is deduced from a variational principle. The associated theory can be seen as a simplified version of the multiconfiguration TDHFB (MC-TDHFB) theory. Its accuracy to tackle the problem of symmetry restoration in dynamical problems is illustrated for the case of two superfluid systems that exchange particles during a short time. In Phys. Rev. C 97, 034627 (2018), using a schematic model where two systems initially described by a pairing Hamiltonians are coupled during a short contact time, it was demonstrated that statistical mixing of TDHFB trajectories can only qualitatively describe the transfer process and that a fully quantum treatment is mandatory. We show here that the present MC-TDHFB approach gives an excellent agreement with the exact solution when the two superfluids are the same (symmetric case) or different (asymmetric case) and from weak to strong interaction strength. Finally, we discuss the benefits and bottleneck of this method in view of its application to realistic systems.
机译：虽然通过明确地破坏粒子数对称的状态精确地掌握超浊度，但可以通过考虑具有良好粒子数的系统来实现诸如重离子反应期间的颗粒转移的精确描述。我们通过混合多个时间依赖的Hartree-Fock-Bogyubov（TDHFB）轨迹来调查在许多身体动态问题中恢复粒子数的可能性。在我们的方法中，每个轨迹独立于其他轨迹，从变分原理推导出轨迹之间的量子混合。相关理论可以被视为多组配置TDHFB（MC-TDHFB）理论的简化版本。为了在短时间内交换粒子的两个超流系统的情况下，示出了在动态问题中解决动态问题的对称性问题问题的准确性。在物理中。 Rev. C 97,034627（2018），使用示意图，其中两个系统最初由配对Hamiltonians在短接触时间耦合时耦合，结果证明TDHFB轨迹的统计混合只能定性地描述转移过程，即完全量子治疗是强制性的。在这里，我们在这里展示了当前MC-TDHFB方法与确切的解决方案相同，当两个超流体相同（对称情况）或不同（非对称情况）并且从弱到强的相互作用强度时，与精确的解决方案提供了很好的协议。最后，考虑到其在现实系统的应用，我们讨论了这种方法的好处和瓶颈。

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