Value Statistics of Chaotic Wigner Function
نویسندگان
چکیده
منابع مشابه
Value statistics of chaotic Wigner function
We study Wigner function value statistics of classically chaotic quantum maps on compact 2D phase space. We show that the Wigner function statistics of a random state is a Gaussian, with the mean value becoming negligible compared to the width in the semiclassical limit. Using numerical example of quantized sawtooth map we demonstrate that the relaxation of time-dependent Wigner function statis...
متن کاملWigner function statistics in classically chaotic systems
We have studied statistical properties of the values of the Wigner function W (x) of 1D quantum maps on compact 2D phase space of finite area V . For this purpose we have defined a Wigner function probability distribution P (w) = (1/V ) ∫ δ(w − W (x))dx, which has, by definition, fixed first and second moment. In particular, we concentrate on relaxation of time evolving quantum state in terms o...
متن کاملWave function statistics in open chaotic billiards.
We study the statistical properties of wave functions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wave functions cross over from real to complex. Each wave function is characterized by a phase rigidity, which is itself a fluctuating quantity. We calculate the probability distribution of the phase rigidity and discuss how phase rigidit...
متن کاملDetermination of the Wigner Function from Photon Statistics *
We present an experimental realisation of the direct scheme for measuring the Wigner function of a single quantized light mode. In this method, the Wigner function is determined as the expectation value of the photon number parity operator for the phase space displaced quantum state. The Wigner function provides a complete representation of the quantum state in the form that is analogous to a c...
متن کاملWigner–Dyson statistics from the replica method
We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method. We show that non-trivial saddle points, which break replica symmetry, must be included in the calculation in order to correctly reproduce the exact asymptotic behaviour of the correlation functions at a large distance.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2003
ISSN: 0375-9687
DOI: 10.1143/ptps.150.348