55 citations · 406 across the 26 of their papers we have counts for
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Effect of pitchfork bifurcations on the spectral statistics of Hamiltonian systems
Marta Gutiérrez, Matthias Brack, Klaus Richter +1
We present a quantitative semiclassical treatment of the effects of bifurcations on the spectral rigidity and the spectral form factor of a Hamiltonian quantum system defined by tw…
Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one
Ayumu Sugita
Gnutzmann and Zyczkowski have proposed the Renyi-Wehrl entropy as a generalization of the Wehrl entropy, and conjectured that its minimum is obtained for coherent states. We prove…
Moments of generalized Husimi distributions and complexity of many-body quantum states
Ayumu Sugita
We consider generalized Husimi distributions for many-body systems, and show that their moments are good measures of complexity of many-body quantum states. Our construction of the…
Second moment of the Husimi distribution as a measure of complexity of quantum states
Ayumu Sugita, Hirokazu Aiba
We propose the second moment of the Husimi distribution as a measure of complexity of quantum states. The inverse of this quantity represents the effective volume in phase space oc…
Semiclassical trace formulas in terms of phase space path integrals
Ayumu Sugita
Semiclassical trace formulas are examined using phase space path integrals. Our main concern in this paper is the Maslov index of the periodic orbit, which seems not fully understo…