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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random phase approximation for the mean-field electron gas （3）
平均场 电子气 随机相位近似
2023/11/29
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random Surface, Planar Lattice Model, and Conformal Field Theory
随机曲面 平面晶格模型 共形场论
2023/4/13
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Stanford team finds order in a process previously assumed to be random
Stanford team process previously assumed random
2016/11/4
Scientific discoveries often arise from noticing the unexpected. Such was the case when Stanford researchers, studying a tiny device that has become increasingly important in disease diagnostics and d...
Postprocessing for quantum random-number generators: Entropy evaluation and randomness extraction
Postprocessing quantum random-number generator Entropy evaluation randomness extraction
2016/1/23
Quantum random-number generators (QRNGs) can offer a means to generate information-theoretically provable random numbers, in principle. In practice, unfortunately, the quantum randomness is inevitably...
Practical and Fast Quantum Random Number Generation Based on Photon Arrival Time Relative to External Reference
Practical Fast Quantum Random Number Generation Photon Arrival Time Relative External Reference
2016/1/22
We present a practical high-speed quantum random number generator, where the timing of single-photon detection relative to an external time reference is measured as the raw data. The bias of the raw d...
We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in R d, d ≥ 4, and the initial velocity of the parti...
The interest in post-quantum cryptography --- classical systems that remain secure in the presence of a quantum adversary --- has generated elegant proposals for new cryptosystems. Some of these syste...
In theories in which the parameters of the low energy theory are not unique, perhaps having different values in different domains of the universe as is possible in some inflationary models, the fermio...
Random values of the cosmological constant
The universe physical parameters the cosmological constant
2014/12/22
Abstract One way that an anthropic selection mechanism may be manifest in a physical theory involves multiple domains in the universe with different values of the physical parameters. If this mechanis...
I briefly describe two motivations, two mechanisms and two possible tests of the hypothesis that the physical parameters of the ground state of a theory can vary in different rerions of the universe.
Numerical study of the three-dimensional random-field Ising model at zero and positive temperature
Three-dimensional ising model zero temperature heat capacity critical point
2014/12/20
In this paper the three-dimensional random-field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling a...
Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
hierarchical models iteration of polynomial maps oscillatory critical amplitudes Harris random variable geometry of Julia set
2012/6/27
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to be hardly detectable....
Exact two-point resistance, and the simple random on the complete graph minus $ N$ edges
Exact two-point resistance the simple random the complete graph minus Mathematical Physics
2012/6/29
An analytical approach is developed to obtain the exact expressions for the two-point resistance, and the total effective resistance of the complete graph minus $N$ edges of the opposite vertices. The...
Spectral control of broadband light through random media by wavefront shaping
Spectral control of broadband light random media wavefront shaping Optics
2012/5/31
A random medium can serve as a controllable arbitrary spectral filter with spectral resolution determined by the inverse of the interaction time of the light in the medium. We use wavefront shaping to...
Light Transport in Random Media with ${\cal PT}$-Symmetry
Light Transport Random Media ${\cal PT}$-Symmetry Optics
2012/5/29
The scattering properties of randomly layered optical media with ${\cal PT}$-symmetric index of refraction are studied using the transfer-matrix method. We find that the transmitance decays exponentia...