Canonical equivalence of gravity and acceleration — two-page
... The presence of the additional phase is not a surprize. The acceleration g imposes an additional kinetic energy mg 2 t2 /2 upon the IN wave function, and during time t this accumulates an addional phase, leading to ψg (q) = exp(−imgtq − img 2 t3 /6)ψ0 (q − gt2 /2). For an elementary derivation, see ...
... The presence of the additional phase is not a surprize. The acceleration g imposes an additional kinetic energy mg 2 t2 /2 upon the IN wave function, and during time t this accumulates an addional phase, leading to ψg (q) = exp(−imgtq − img 2 t3 /6)ψ0 (q − gt2 /2). For an elementary derivation, see ...
Quantum_Computing
... continued speed increases after the physical limits of silicon and light-based processes have been reached, but several offer entirely new modes of computation. For the first time, however, computational models are being examined that depart entirely from the way computers have been calculating sinc ...
... continued speed increases after the physical limits of silicon and light-based processes have been reached, but several offer entirely new modes of computation. For the first time, however, computational models are being examined that depart entirely from the way computers have been calculating sinc ...
8 - ijssst
... does not develop XNOR and NOR functions but it can be extended and modified to perform these desired operations. The model thus proposed does not confirm to the characteristic of reversibility as per the requirement of quantum circuits or gates and in the future work we shall focus on its improvemen ...
... does not develop XNOR and NOR functions but it can be extended and modified to perform these desired operations. The model thus proposed does not confirm to the characteristic of reversibility as per the requirement of quantum circuits or gates and in the future work we shall focus on its improvemen ...
Scaling of geometric phase close to multicritical points in cluster
... quadratic dispersions for l > 2, we find a similar log scaling behavior. Conclusions.− We have studied the criticality of generalized cluster-Ising models through the scaling properties of the geometric phase. The criticality with parameterdependent critical momentum is generically found of the XX t ...
... quadratic dispersions for l > 2, we find a similar log scaling behavior. Conclusions.− We have studied the criticality of generalized cluster-Ising models through the scaling properties of the geometric phase. The criticality with parameterdependent critical momentum is generically found of the XX t ...
Enhanced and Reduced Atom Number
... N=4. In the degenerate regime, the entropy effect which favors small number differences vanishes and, if each Fock state with a given n is equiprobable, hn2 i is as high as N 2 =12. The crossover from superbinomial to sub-binomial fluctuations comes from the interaction energy cost associated with n ...
... N=4. In the degenerate regime, the entropy effect which favors small number differences vanishes and, if each Fock state with a given n is equiprobable, hn2 i is as high as N 2 =12. The crossover from superbinomial to sub-binomial fluctuations comes from the interaction energy cost associated with n ...
Quantum transport equations for Bose systems taking into account
... The problems of building a kinetic equation for Bose systems based on the microscopic approach were considered by Akhiezer and Peletminsky [21] and by Kirkpatrick and Dorfman [22–24]. The results of [22, 23] were extended and used to describe the trapped weakly-interacting Bose gases at finite temper ...
... The problems of building a kinetic equation for Bose systems based on the microscopic approach were considered by Akhiezer and Peletminsky [21] and by Kirkpatrick and Dorfman [22–24]. The results of [22, 23] were extended and used to describe the trapped weakly-interacting Bose gases at finite temper ...
slides - Mathematics Department
... and ‘bad science’. But ignoring that the macro-objectification problem admits an empirical solution they tolerate the same ad hocness with respect to Q.M. Thus, either they must renounce to criticize HVThs, or they have to recognize that they also are holding on to a degenerate research program. The ...
... and ‘bad science’. But ignoring that the macro-objectification problem admits an empirical solution they tolerate the same ad hocness with respect to Q.M. Thus, either they must renounce to criticize HVThs, or they have to recognize that they also are holding on to a degenerate research program. The ...
Effective lattice models for two-dimensional
... antiferromagnets in terms of N complex scalars and a compact U (1) gauge field. S0 will be shown to have the following properties: (i) Using duality we obtain from S0 an action Sf expressed solely in terms of the physical Néel and spin-Peierls order parameters: Sf is the correct generalization of t ...
... antiferromagnets in terms of N complex scalars and a compact U (1) gauge field. S0 will be shown to have the following properties: (i) Using duality we obtain from S0 an action Sf expressed solely in terms of the physical Néel and spin-Peierls order parameters: Sf is the correct generalization of t ...
Entanglement, Gravity, and Quantum Error Correction
... generalizing the Ryu-Takayanagi prescription. • Quantum information theory enables us to understand the basic dictionary of quantum gravity. • Viewing holography as a quantum error correcting code, we can make progress on how to “build spacetime from entanglement”. ...
... generalizing the Ryu-Takayanagi prescription. • Quantum information theory enables us to understand the basic dictionary of quantum gravity. • Viewing holography as a quantum error correcting code, we can make progress on how to “build spacetime from entanglement”. ...
Many-body theory
... is removed by one of the vertices, at a v coordinate. In a similar manner, the particles created at the vertices are removed at an x coordinate point. Let introduce the pairing among field operators appearing in the vacuum expectation values in such a manner that an operator creating a particle is p ...
... is removed by one of the vertices, at a v coordinate. In a similar manner, the particles created at the vertices are removed at an x coordinate point. Let introduce the pairing among field operators appearing in the vacuum expectation values in such a manner that an operator creating a particle is p ...
QUANTUM PHENOMENA IN THE BIOLOGICAL
... most of the cells have been hit nine times. From now on each cell only requires one more quantum to kill it, so from here on the curve will behave much like the simpler curve for the case where only one quantum is required altogether. The greater the number of quanta needed the longer will be the pe ...
... most of the cells have been hit nine times. From now on each cell only requires one more quantum to kill it, so from here on the curve will behave much like the simpler curve for the case where only one quantum is required altogether. The greater the number of quanta needed the longer will be the pe ...
Quantum Probabilistic Dyadic Second-Order Logic⋆
... the set of states ΣH to the set of set of states ΣH0 , given by A(|ψi) for every |ψi ∈ H. An action is any such function A : H → H0 induced on state spaces by some linear map A : ΣH → ΣH0 . We can also define composition, tensor product and adjoint of actions in a natural way via composition, tensor ...
... the set of states ΣH to the set of set of states ΣH0 , given by A(|ψi) for every |ψi ∈ H. An action is any such function A : H → H0 induced on state spaces by some linear map A : ΣH → ΣH0 . We can also define composition, tensor product and adjoint of actions in a natural way via composition, tensor ...
Simple examples of second quantization 4
... exploited in the Jordan–Wigner representation of spins. A classical spin is represented by a vector pointing in a specific direction. Such a representation is fine for quantum spins with extremely large spin S, but once the spin S becomes small, spins behave as very new kinds of object. Now their sp ...
... exploited in the Jordan–Wigner representation of spins. A classical spin is represented by a vector pointing in a specific direction. Such a representation is fine for quantum spins with extremely large spin S, but once the spin S becomes small, spins behave as very new kinds of object. Now their sp ...
Anderson Transition for Classical Transport in Composite Materials
... values ϵ1 ðωÞ and ϵ2 ðωÞ. Values of h ¼ ϵ1 =ϵ2 near the negative real axis can be realized in these systems over certain ranges of frequency ω [10]. The resonance structure of ϵ and the absorption profile, such as sharp peaks associated with surface plasmon resonances [10,23], are then observable [ ...
... values ϵ1 ðωÞ and ϵ2 ðωÞ. Values of h ¼ ϵ1 =ϵ2 near the negative real axis can be realized in these systems over certain ranges of frequency ω [10]. The resonance structure of ϵ and the absorption profile, such as sharp peaks associated with surface plasmon resonances [10,23], are then observable [ ...
