Information and Entropy in Neural Networks and Interacting Systems
... network and why a generalization of the definition of entropy may be required. Like neural networks, large ensembles of similar units that interact also need a generalization of classical information-theoretic concepts. We extend the concept of Shannon entropy in a novel way, which may be relevant w ...
... network and why a generalization of the definition of entropy may be required. Like neural networks, large ensembles of similar units that interact also need a generalization of classical information-theoretic concepts. We extend the concept of Shannon entropy in a novel way, which may be relevant w ...
Heavy Fermions: Electrons at the Edge of
... want of any controlled way to compute properties of the Kondo lattice. In the early 1980s, Anderson (1981) proposed a way out of this log-jam. Taking a cue from the success of the 1/S expansion in spin-wave theory, and the 1/N expansion in statistical mechanics and particle physics, he noted that th ...
... want of any controlled way to compute properties of the Kondo lattice. In the early 1980s, Anderson (1981) proposed a way out of this log-jam. Taking a cue from the success of the 1/S expansion in spin-wave theory, and the 1/N expansion in statistical mechanics and particle physics, he noted that th ...
lecture notes on statistical mechanics - MSU Physics
... state i to state j is the same as the rate at which one changes from state j to state i. Here, we can consider a state as a quantum eigenstate of the entire system. All static systems, no matter how large or how many particles, have eigenstates, even if they are extremely tightly spaced. If a state ...
... state i to state j is the same as the rate at which one changes from state j to state i. Here, we can consider a state as a quantum eigenstate of the entire system. All static systems, no matter how large or how many particles, have eigenstates, even if they are extremely tightly spaced. If a state ...
Dynamic Line Integral Convolution: A Guide to the Java Software
... Now consider the LIC procedure for a field that varies in space. If we simply follow the procedure described above and average the brightness of pixels along straight lines in space, where the direction of the straight line is determined by the local direction of the field at (for example) pixel 1, ...
... Now consider the LIC procedure for a field that varies in space. If we simply follow the procedure described above and average the brightness of pixels along straight lines in space, where the direction of the straight line is determined by the local direction of the field at (for example) pixel 1, ...
Net force on an asymmetrically excited two-atom - MathPhys-UVa
... the resonant interaction is inherently time dependent, since it involves a nearly reversible and periodic excitation transfer between the two atoms. For nonidentical atoms, in the weak coupling regime, the probability of total excitation transfer is small, it is attenuated by the spontaneous emissio ...
... the resonant interaction is inherently time dependent, since it involves a nearly reversible and periodic excitation transfer between the two atoms. For nonidentical atoms, in the weak coupling regime, the probability of total excitation transfer is small, it is attenuated by the spontaneous emissio ...
Braunstein
... NB Teleportation only uses operations covered by G-K (or generalization to infinite-dimensional Hilbert space†). Simulation is not everything ... *Braunstein et al, J.Mod.Opt. 47, 267 (2000) ...
... NB Teleportation only uses operations covered by G-K (or generalization to infinite-dimensional Hilbert space†). Simulation is not everything ... *Braunstein et al, J.Mod.Opt. 47, 267 (2000) ...
Document
... 22.8.1. Two positively charged particles are in fixed locations on the x axis. A test charge that is free to move about the x-y plane is placed at the mid-point between the two positively charged particles. If the test charge is held stationary at the mid-point and then released, it remains station ...
... 22.8.1. Two positively charged particles are in fixed locations on the x axis. A test charge that is free to move about the x-y plane is placed at the mid-point between the two positively charged particles. If the test charge is held stationary at the mid-point and then released, it remains station ...
Quantum heating of a parametrically modulated oscillator: Spectral signatures M. Marthaler,
... (1 + µ)1/2 ,P0 ≈ 0 from Eq. (4). The states are symmetrical, since they correspond to time translation by the modulation period, in the laboratory frame. The contributions to (ω) from fluctuations about the stable states are equal, and it is sufficient to study one of them. For concreteness, we wil ...
... (1 + µ)1/2 ,P0 ≈ 0 from Eq. (4). The states are symmetrical, since they correspond to time translation by the modulation period, in the laboratory frame. The contributions to (ω) from fluctuations about the stable states are equal, and it is sufficient to study one of them. For concreteness, we wil ...
DECOHERENCE AND DYNAMICAL DECOUPLING IN SOLID-STATE SPIN QUBITS Wayne Martin Witzel
... I appreciate help that I have received from many people in order to accomplish this work. First of all, the Condensed Matter Theory Center (CMTC) has been an enriching environment for my graduate research. I have asked innumerable questions, from mundane to profound, of present and past CMTC post-do ...
... I appreciate help that I have received from many people in order to accomplish this work. First of all, the Condensed Matter Theory Center (CMTC) has been an enriching environment for my graduate research. I have asked innumerable questions, from mundane to profound, of present and past CMTC post-do ...
Ground states of helium to neon and their ions in strong magnetic
... at larger βZ . One can define four regimes for the ground state configurations: The low-field regime (LF), the magnetic polarization regime (MP) with partial spin polarization (PSP), the regime of full spin polarization (FSP), and the high-field ground state regime (HFGS). In the MP regime the groun ...
... at larger βZ . One can define four regimes for the ground state configurations: The low-field regime (LF), the magnetic polarization regime (MP) with partial spin polarization (PSP), the regime of full spin polarization (FSP), and the high-field ground state regime (HFGS). In the MP regime the groun ...
U P P E R D I V... H O N O R S R E...
... PHY 475 Statistical Physics Honors Contract Courses (10 credits) PHY 395 Seminar PHY 441 Quantum Physics II PHY 493 Advanced Topics (variable credit, take as 2 + 2, minimum of 4 credits required) Courses without credits listed are now three credits. PHY 493 Research requires a written and oral prese ...
... PHY 475 Statistical Physics Honors Contract Courses (10 credits) PHY 395 Seminar PHY 441 Quantum Physics II PHY 493 Advanced Topics (variable credit, take as 2 + 2, minimum of 4 credits required) Courses without credits listed are now three credits. PHY 493 Research requires a written and oral prese ...
The Physics of Electrodynamic Ion Traps
... The basic idea of an ion trap is to confine a charged particle in free space, away from any other matter, using electric fields alone. There is a famous theorem, called Earnshaw’s theorem, stating that one cannot construct a stable ion trap using electrostatic fields alone. To trap a positively char ...
... The basic idea of an ion trap is to confine a charged particle in free space, away from any other matter, using electric fields alone. There is a famous theorem, called Earnshaw’s theorem, stating that one cannot construct a stable ion trap using electrostatic fields alone. To trap a positively char ...
Chapter 19: Problems
... 30. As shown in Figure 19.48, a long straight wire, carrying a current I up the page, lies in the plane of a loop. The long straight wire is 40 cm from the center of the loop, which has a radius of 20 cm. Initially, the magnetic field at the center of the loop is due only to the current in the long ...
... 30. As shown in Figure 19.48, a long straight wire, carrying a current I up the page, lies in the plane of a loop. The long straight wire is 40 cm from the center of the loop, which has a radius of 20 cm. Initially, the magnetic field at the center of the loop is due only to the current in the long ...
Basic Notions of Entropy and Entanglement
... at temperature T , we need to do work N T ln 2. 2. Classical Entanglement We3 say that two subsystems of a given system are entangled if they are not independent. Quantum entanglement can occur at the level of wave functions or operators, and has some special features, but there is nothing intrinsic ...
... at temperature T , we need to do work N T ln 2. 2. Classical Entanglement We3 say that two subsystems of a given system are entangled if they are not independent. Quantum entanglement can occur at the level of wave functions or operators, and has some special features, but there is nothing intrinsic ...