Coherent States
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
QUANTUM STATES, ENTANGLEMENT and CLOSED TIMELIKE
... can purify ρCTC . But then the pure entangled state depends on ρCR and U, i.e., |Φi = |Φ(ψ, U)i. • In ordinary quantum theory if we have two systems (say) with density matrices ρ and ρS and they interact via ρ ⊗ ρs → U(ρ ⊗ ρs )U † , then we can always purify ρS such that ρS = TrA (|ΨiSA hΨ|), where ...
... can purify ρCTC . But then the pure entangled state depends on ρCR and U, i.e., |Φi = |Φ(ψ, U)i. • In ordinary quantum theory if we have two systems (say) with density matrices ρ and ρS and they interact via ρ ⊗ ρs → U(ρ ⊗ ρs )U † , then we can always purify ρS such that ρS = TrA (|ΨiSA hΨ|), where ...
Quantum gases in optical lattices
... the same and does not fluctuate. How- (a) Controlled interactions between atoms on the lab. The ETH team has compared ever, this means that the phase coherence different lattice sites are possible with the help of the oscillation frequencies of an axial lattice potentials. In such a between atoms on ...
... the same and does not fluctuate. How- (a) Controlled interactions between atoms on the lab. The ETH team has compared ever, this means that the phase coherence different lattice sites are possible with the help of the oscillation frequencies of an axial lattice potentials. In such a between atoms on ...
PowerPoint - Subir Sachdev
... N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989). C. Lannert, M.P.A. Fisher, and T. Senthil, Phys. Rev. B 63, 134510 (2001) S. Sachdev and K. Park, Annals of Physics, 298, 58 (2002) T. Senthil, A. Vishwanath, L. Balents, S. Sachdev and M.P.A. Fisher, Science 303, 1490 (2004). ...
... N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989). C. Lannert, M.P.A. Fisher, and T. Senthil, Phys. Rev. B 63, 134510 (2001) S. Sachdev and K. Park, Annals of Physics, 298, 58 (2002) T. Senthil, A. Vishwanath, L. Balents, S. Sachdev and M.P.A. Fisher, Science 303, 1490 (2004). ...
Quantum-classical correspondence in the hydrogen atom in weak
... hydrogenic wave functions with very large principal quantum numbers (n*100) @2,3#. The atoms ~or molecules! in which a valence electron is promoted to such high-n states are generically called ‘‘Rydberg’’ atoms, because the energy levels of the excited electron are well described by a Rydberg-like f ...
... hydrogenic wave functions with very large principal quantum numbers (n*100) @2,3#. The atoms ~or molecules! in which a valence electron is promoted to such high-n states are generically called ‘‘Rydberg’’ atoms, because the energy levels of the excited electron are well described by a Rydberg-like f ...
The world according to quantum mechanics (or, the 18 errors of
... responsible, a law that in no wise depends on the presence of consciousness. The final section contains concluding remarks. ...
... responsible, a law that in no wise depends on the presence of consciousness. The final section contains concluding remarks. ...
001 Introduction to Quantum Mechanics, Probability Amplitudes and
... this is the fundamental cornerstone of quantum mechanics and our civilisation quite simply depends on quantum mechanics because we’re all busy communicating with each other using electronics that has been designed using quantum mechanics. So it’s – of course there are particular, specific experiment ...
... this is the fundamental cornerstone of quantum mechanics and our civilisation quite simply depends on quantum mechanics because we’re all busy communicating with each other using electronics that has been designed using quantum mechanics. So it’s – of course there are particular, specific experiment ...
Full-text PDF - American Mathematical Society
... There are many questions that are asked about such high frequency eigenmodes; we focus on the most basic one concerning their distribution. The density νφ := |φ(x, y)|2 dxdy is a probability measure on Ω which quantum mechanically is interpreted as the probability distribution associated with being ...
... There are many questions that are asked about such high frequency eigenmodes; we focus on the most basic one concerning their distribution. The density νφ := |φ(x, y)|2 dxdy is a probability measure on Ω which quantum mechanically is interpreted as the probability distribution associated with being ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.