Scattering theory - Theory of Condensed Matter
... is isotropic and given by dΩ = R2 and σtot → 4πR2 . $ Info. Ultracold atomic gases provide a topical arena in which resonant scattering phenomena are exploited. In particular, experimentalists make use of Feshbach resonance phenomena to tune the effective interaction between atoms. This tunability a ...
... is isotropic and given by dΩ = R2 and σtot → 4πR2 . $ Info. Ultracold atomic gases provide a topical arena in which resonant scattering phenomena are exploited. In particular, experimentalists make use of Feshbach resonance phenomena to tune the effective interaction between atoms. This tunability a ...
Angular Momentum 23.1 Classical Description
... We learn that, for example, [L̂x , L̂y ] = i ~ Lz . This tells us that it is impossible to find eigenfunctions of Lx that are simultaneously eigenfunctions of Ly and/or Lz . So returning to the issue of [Ĥ, L̂i ] = 0, we can, evidently, choose any one of the angular momentum operators, and have sha ...
... We learn that, for example, [L̂x , L̂y ] = i ~ Lz . This tells us that it is impossible to find eigenfunctions of Lx that are simultaneously eigenfunctions of Ly and/or Lz . So returning to the issue of [Ĥ, L̂i ] = 0, we can, evidently, choose any one of the angular momentum operators, and have sha ...
Word Doc - Exodus 2006
... a mark of the divine. The LORD God placed flaming sword to keep the way to the tree of life from the man and the woman (Gen. 3:24). The letters that are found once in each name, yod ( )יin man and hey ( )הin woman, form the concise Name of the LORD, יה. The Name of the LORD, mostly used in the ...
... a mark of the divine. The LORD God placed flaming sword to keep the way to the tree of life from the man and the woman (Gen. 3:24). The letters that are found once in each name, yod ( )יin man and hey ( )הin woman, form the concise Name of the LORD, יה. The Name of the LORD, mostly used in the ...
Disorder-induced order with ultra-cold atoms
... In fact, even if disordered quantities commonly tend to destroy perfect ordering, we have found that there exist physical settings, in which a disordered parameter can induce new, ordered phases. We termed this new effect disorder-induced order and found that it is applicable to a wide range of cond ...
... In fact, even if disordered quantities commonly tend to destroy perfect ordering, we have found that there exist physical settings, in which a disordered parameter can induce new, ordered phases. We termed this new effect disorder-induced order and found that it is applicable to a wide range of cond ...
A Mathematical Characterization of the Physical Structure of Observers
... than pure-state wave functions. This means generalizing von Neumann’s projection postulate, according to which the wave function of a system during a measurement changes discontinuously to an eigenstate of some measured operator. According to Refs 7 and 5, “measured operators” become switch statuses ...
... than pure-state wave functions. This means generalizing von Neumann’s projection postulate, according to which the wave function of a system during a measurement changes discontinuously to an eigenstate of some measured operator. According to Refs 7 and 5, “measured operators” become switch statuses ...
Anyons and the quantum Hall effect— A pedagogical
... deviation from these perfect conditions, however, for example by the ring being imperfectly circular or imperfectly ballistic, introduces transitions between the two states, removes the degeneracy, and leads to the electron staying, in the adiabatic limit, in the lowest energy state. This subtle poi ...
... deviation from these perfect conditions, however, for example by the ring being imperfectly circular or imperfectly ballistic, introduces transitions between the two states, removes the degeneracy, and leads to the electron staying, in the adiabatic limit, in the lowest energy state. This subtle poi ...
A straightforward introduction to continuous quantum measurement
... proceeds (that is, in real time) to modify the system Hamiltonian so as to obtain some desired behaviour. Thus, continuous measurement theory is essential for describing feedback control. The increasing interest in continuous measurement is also due to its applications in metrology [12 – 16], quantu ...
... proceeds (that is, in real time) to modify the system Hamiltonian so as to obtain some desired behaviour. Thus, continuous measurement theory is essential for describing feedback control. The increasing interest in continuous measurement is also due to its applications in metrology [12 – 16], quantu ...
Universal diffraction of atoms and molecules from a quantum
... that universal behavior was also found for the –3rd-order diffraction efficiency curves of He, He2, and D2. In conclusion, we have observed emerging beam resonances for He, He2, and D2 quantum-reflected from an echelette diffraction grating at grazing incidence. Our observation indicates that He2, d ...
... that universal behavior was also found for the –3rd-order diffraction efficiency curves of He, He2, and D2. In conclusion, we have observed emerging beam resonances for He, He2, and D2 quantum-reflected from an echelette diffraction grating at grazing incidence. Our observation indicates that He2, d ...
Chapter 14.
... compares two 4-bit numbers ( S s3 s2 s1s0 and B b3b2b1b0 ). We first compare the Most Significant Bit (MSB), if s3 and b3 has different value ( s3 b3 1 ) and b3 1 , then we know B S . If s3 and b3 are the same ( s3 b3 0 ), then we need to move to the next significant bit. This can be ...
... compares two 4-bit numbers ( S s3 s2 s1s0 and B b3b2b1b0 ). We first compare the Most Significant Bit (MSB), if s3 and b3 has different value ( s3 b3 1 ) and b3 1 , then we know B S . If s3 and b3 are the same ( s3 b3 0 ), then we need to move to the next significant bit. This can be ...
The Two-Stage Model of Free Will: How biological freedom in lower
... In my own correspondence with Nature in their 25 June issue,3 I connected Heisenberg’s thinking with William James’s 1884 two-stage model of free will,4 first chance generation of alternative possibilities, followed by a willed decision. Long before twentieth-century behaviorism and logical empiric ...
... In my own correspondence with Nature in their 25 June issue,3 I connected Heisenberg’s thinking with William James’s 1884 two-stage model of free will,4 first chance generation of alternative possibilities, followed by a willed decision. Long before twentieth-century behaviorism and logical empiric ...
Near-Optimal Dynamical Decoupling of a Qubit
... kHk, provided Sn t1 is sufficiently small to ensure convergence of the time-perturbative expansion. The important point here is that the resulting effective Hamiltonian H 0 ¼ I B0I þ X B0X is a purely spin-flip, analytically time-dependent coupling [11]. The correction term OððSn t1 Þnþ1 Þ pot ...
... kHk, provided Sn t1 is sufficiently small to ensure convergence of the time-perturbative expansion. The important point here is that the resulting effective Hamiltonian H 0 ¼ I B0I þ X B0X is a purely spin-flip, analytically time-dependent coupling [11]. The correction term OððSn t1 Þnþ1 Þ pot ...
generalized twist-deformed rindler space-times
... should be modified (deformed) at Planck scale, while the classical Poincare invariance still remains valid at larger distances [14-17]. Besides, there have been found formal arguments, based mainly on Quantum Gravity [18, 19] and String Theory models [20, 21], indicating that space-time at Planck-le ...
... should be modified (deformed) at Planck scale, while the classical Poincare invariance still remains valid at larger distances [14-17]. Besides, there have been found formal arguments, based mainly on Quantum Gravity [18, 19] and String Theory models [20, 21], indicating that space-time at Planck-le ...
Phase control of trapped ion quantum gates
... the study and control of large-scale quantum systems. The generally accepted requirements for quantum hardware [1] include identifiable two-level systems for storing information in the form of quantum bits (or qubits), and methods for externally manipulating and entangling qubits through quantum log ...
... the study and control of large-scale quantum systems. The generally accepted requirements for quantum hardware [1] include identifiable two-level systems for storing information in the form of quantum bits (or qubits), and methods for externally manipulating and entangling qubits through quantum log ...
Lecture 6, Parity and Charge Conjugation
... Thus the weak interaction does not always conserve CP! In 2001 CP violation was observed in the decay of B-mesons. CP violation is one of the most interesting topics in physics: The laws of physics are different for particles and anti-particles! M&S pages 248-255 What causes CP violation ? (it is pu ...
... Thus the weak interaction does not always conserve CP! In 2001 CP violation was observed in the decay of B-mesons. CP violation is one of the most interesting topics in physics: The laws of physics are different for particles and anti-particles! M&S pages 248-255 What causes CP violation ? (it is pu ...
Qualification Exam: Quantum Mechanics
... 2. Show that the total angular momentum J is conserved. 3. The energy of the electron is 52 ~ω. A measurement of J is performed. What are the possible results? 4. List, in the basis of part first part, all the wavefunctions corresponding to each possible eigenvalue of J in the third part. ...
... 2. Show that the total angular momentum J is conserved. 3. The energy of the electron is 52 ~ω. A measurement of J is performed. What are the possible results? 4. List, in the basis of part first part, all the wavefunctions corresponding to each possible eigenvalue of J in the third part. ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).