Quantum phase transition in one-dimensional Bose
... particle to the kinetic energy. Experimentally, a quasi-1D toroidal geometry may be realized using an optical trap with Laguerre-Gaussian beams 关12兴. By tightening the confinement in the radial direction so that energy-level spacings in that direction exceed the interaction energy, we can restrict t ...
... particle to the kinetic energy. Experimentally, a quasi-1D toroidal geometry may be realized using an optical trap with Laguerre-Gaussian beams 关12兴. By tightening the confinement in the radial direction so that energy-level spacings in that direction exceed the interaction energy, we can restrict t ...
The Logic of Experimental Tests, Particularly of Everettian Quantum
... consequently of laws of motion that conform to it such as L above, possibly be? That is the central problem addressed in this paper. In particular, although the coefficients xi ψ are different for the different instances of the observer, nothing about their values (except for which of them are exact ...
... consequently of laws of motion that conform to it such as L above, possibly be? That is the central problem addressed in this paper. In particular, although the coefficients xi ψ are different for the different instances of the observer, nothing about their values (except for which of them are exact ...
ABSTRACT ACCELERATION AND OBSERVER DEPENDENCE OF
... (Rindler observers [1]) are the most widely used description of such behavior so far, especially in discussions of the thermal properties of vacuum states in quantum field theories [2]. In this work we derive the trajectory and the metric of an observer moving with non-constant proper acceleration i ...
... (Rindler observers [1]) are the most widely used description of such behavior so far, especially in discussions of the thermal properties of vacuum states in quantum field theories [2]. In this work we derive the trajectory and the metric of an observer moving with non-constant proper acceleration i ...
Stark Effect - Physics
... Stark [1] and explained by Schrödinger [2]. We compute the Stark effect on atomic hydrogen using perturbation theory by diagonalizing the perturbation term in the N 2 -fold degenerate multiplet of states with principal quantum number N . We exploit the symmetries of this problem to simplify the num ...
... Stark [1] and explained by Schrödinger [2]. We compute the Stark effect on atomic hydrogen using perturbation theory by diagonalizing the perturbation term in the N 2 -fold degenerate multiplet of states with principal quantum number N . We exploit the symmetries of this problem to simplify the num ...
Von Neumann algebra automorphisms and time
... issue of time of quantum gravity. As emphasized in [4], the very same problem appears already at the level of the classical statistical mechanics of gravity, namely as soon as we take into account the thermal fluctuations of the gravitational field.2 Thus, a basic open problem is to understand how t ...
... issue of time of quantum gravity. As emphasized in [4], the very same problem appears already at the level of the classical statistical mechanics of gravity, namely as soon as we take into account the thermal fluctuations of the gravitational field.2 Thus, a basic open problem is to understand how t ...
Lecture Notes in Statistical Mechanics and Mesoscopics
... Anharmonic oscillator in 1D: ergodic-like state due to spreading (not for mono-energetic distribution!) Global mixing leads to ergodicity in the case of a chaotic system. e.g. Sinai billiard and Lorentz gas. To give example of systems with mixed phase space. In what sense ρ (t) becomes microcanonica ...
... Anharmonic oscillator in 1D: ergodic-like state due to spreading (not for mono-energetic distribution!) Global mixing leads to ergodicity in the case of a chaotic system. e.g. Sinai billiard and Lorentz gas. To give example of systems with mixed phase space. In what sense ρ (t) becomes microcanonica ...
On inelastic hydrogen atom collisions in stellar atmospheres
... during the 1960’s and 1970’s neglected H atom collisions. While some authors mentioned the possible need to include such processes (e.g. van Regemorter 1962; Athay & Canfield 1969), the first to make an attempt at including them quantitatively was the study of solar Na lines by Gehren (1975). That s ...
... during the 1960’s and 1970’s neglected H atom collisions. While some authors mentioned the possible need to include such processes (e.g. van Regemorter 1962; Athay & Canfield 1969), the first to make an attempt at including them quantitatively was the study of solar Na lines by Gehren (1975). That s ...
Loop Quantum Gravity and Its Consistency
... Minkowski spacetime background. For non-pertubative theories, the key is that background independence is an immutable fact, and so it is the starting point. Such theories include Causal Dynamical Triangualation, Causal Set Theory and Non-Commutative Geometry, among others. The focus of this dissert ...
... Minkowski spacetime background. For non-pertubative theories, the key is that background independence is an immutable fact, and so it is the starting point. Such theories include Causal Dynamical Triangualation, Causal Set Theory and Non-Commutative Geometry, among others. The focus of this dissert ...
Einstein`s Unknown Insight and the Problem of Quantizing Chaos
... added in proof that makes it clear that the type (b) motion Einstein had identified is not just for the complex manyparticle systems of statistical mechanics: If there exist fewer than d [constants of motion], as is the case, for example, according to Poincaré in the three-body problem, then the pi ...
... added in proof that makes it clear that the type (b) motion Einstein had identified is not just for the complex manyparticle systems of statistical mechanics: If there exist fewer than d [constants of motion], as is the case, for example, according to Poincaré in the three-body problem, then the pi ...
The status of cosmological natural selection
... was introduced by analogy to theoretical biology, where the term “fitness landscape” is in common use. Reasoning in terms of a landscape of theories involves several structures: • A space of fundamental theories or a parameter space of a single fundamental theory, denoted the fundamental landscape, ...
... was introduced by analogy to theoretical biology, where the term “fitness landscape” is in common use. Reasoning in terms of a landscape of theories involves several structures: • A space of fundamental theories or a parameter space of a single fundamental theory, denoted the fundamental landscape, ...
PDF
... the first time, allows also a reconstruction of indistinguishable multiparticle spin-1/2 states, which is quite general since it encompasses a vast class of experimentally accessible systems. The best known quantum tomographic procedure is optical homodyne tomography [3], for the reconstruction of t ...
... the first time, allows also a reconstruction of indistinguishable multiparticle spin-1/2 states, which is quite general since it encompasses a vast class of experimentally accessible systems. The best known quantum tomographic procedure is optical homodyne tomography [3], for the reconstruction of t ...
The Emergence of Classical Dynamics in a Quantum World
... problem of assigning intrinsic reality to properties of individual quantum systems gave rise to a purely statistical inter- interference turned out to be untenable, at least in some pretation of quantum mechanics. In this view, quantum laws systems (Habib et al. 2000). apply only to ensembles of ide ...
... problem of assigning intrinsic reality to properties of individual quantum systems gave rise to a purely statistical inter- interference turned out to be untenable, at least in some pretation of quantum mechanics. In this view, quantum laws systems (Habib et al. 2000). apply only to ensembles of ide ...
Feynman, Einstein and Quantum Computing
... • For complete set of operators to build all standard gates such as AND, OR, XOR, NAND - need additional gate such as the ‘Controlled Controlled Not’ (CNN) gate (also known as a Toffoli gate) or the ‘Fredkin’ Exchange gate: a ...
... • For complete set of operators to build all standard gates such as AND, OR, XOR, NAND - need additional gate such as the ‘Controlled Controlled Not’ (CNN) gate (also known as a Toffoli gate) or the ‘Fredkin’ Exchange gate: a ...
Einstein`s impact on the physics of the twentieth century
... Einstein’s theory of Brownian motion is highly idealized, since for example the velocity of a particle is not defined. Langevin’s approach, perfected by Ornstein and Uhlenbeck (Uhlenbeck, 1930), is closer to Newtonian particle mechanics and is thus truly dynamical. In practice, for ‘ordinary’ Browni ...
... Einstein’s theory of Brownian motion is highly idealized, since for example the velocity of a particle is not defined. Langevin’s approach, perfected by Ornstein and Uhlenbeck (Uhlenbeck, 1930), is closer to Newtonian particle mechanics and is thus truly dynamical. In practice, for ‘ordinary’ Browni ...
Quantum factorization of 56153 with only 4 qubits
... et al. [1] in 2012 factored an entire class of numbers, and not just the one number that they reported (which was 143). The largest such number that we found without using any prior knowledge of the solution to the factorization problem was 56153. Since the experiment in [1] only involved 4 qubits, ...
... et al. [1] in 2012 factored an entire class of numbers, and not just the one number that they reported (which was 143). The largest such number that we found without using any prior knowledge of the solution to the factorization problem was 56153. Since the experiment in [1] only involved 4 qubits, ...
Lecture 1
... http://www.cs.berkeley.edu/~vazirani/s09quantum.html http://www.cs.uwaterloo.ca/~watrous/lecture-notes.html ...
... http://www.cs.berkeley.edu/~vazirani/s09quantum.html http://www.cs.uwaterloo.ca/~watrous/lecture-notes.html ...