Classical phase-space analysis of vibronically coupled systems
... of Landau, Zener, and Stückelberg [4–6], for example, one may employ a “surface-hopping” ansatz to describe nonadiabatic transitions between coupled potential-energy surfaces [7–13]. Alternatively, a quantum-classical description may be derived by starting with a quantummechanically exact formulati ...
... of Landau, Zener, and Stückelberg [4–6], for example, one may employ a “surface-hopping” ansatz to describe nonadiabatic transitions between coupled potential-energy surfaces [7–13]. Alternatively, a quantum-classical description may be derived by starting with a quantummechanically exact formulati ...
Quantum Computation - University of Denver
... certain situations it becomes awkward. In such situations, we revert to standard mathematical notation. 3. QUANTUM MECHANICS. Quantum mechanics is a theory that describes atomic and subatomic particles (quantum particles) and their interactions. Examples of quantum particles are electrons, protons, ...
... certain situations it becomes awkward. In such situations, we revert to standard mathematical notation. 3. QUANTUM MECHANICS. Quantum mechanics is a theory that describes atomic and subatomic particles (quantum particles) and their interactions. Examples of quantum particles are electrons, protons, ...
Lecture Notes on Statistical Mechanics and Thermodynamics
... 1. Introduction and Historical Overview As the name suggests, thermodynamics historically developed as an attempt to understand phenomena involving heat. This notion is intimately related to irreversible processes involving typically many, essentially randomly excited, degrees of freedom. The prope ...
... 1. Introduction and Historical Overview As the name suggests, thermodynamics historically developed as an attempt to understand phenomena involving heat. This notion is intimately related to irreversible processes involving typically many, essentially randomly excited, degrees of freedom. The prope ...
“Magnus” force - Pacific Institute of Theoretical Physics
... We begin with the phase term – then we can derive equations of motion for the 2 coupled paths, which are best written in the variables Then, in addition to the Magnus force, we find another force acting on the vortex, given by where ...
... We begin with the phase term – then we can derive equations of motion for the 2 coupled paths, which are best written in the variables Then, in addition to the Magnus force, we find another force acting on the vortex, given by where ...
On the interpretation of measurement in quantum theory
... cannot be rederived from the density matrix. The discrepancy between Eqs. (3) and (7) arises since, on the one hand, Eq. (3) must hold for all but a negligible number of members of the ensemble, whereas Eq. (7) is interpreted as describing an ensemble of states % ~B u~(t) ¢~, i.e., each state being ...
... cannot be rederived from the density matrix. The discrepancy between Eqs. (3) and (7) arises since, on the one hand, Eq. (3) must hold for all but a negligible number of members of the ensemble, whereas Eq. (7) is interpreted as describing an ensemble of states % ~B u~(t) ¢~, i.e., each state being ...
Quantum Decoherence and the - Philsci
... probability that the Gaussian immediately after a jump is centred on a given point is equal to the square of the amplitude at that point at the instant just before the jump. These new rules guarantee that the chance that the wave function of a macroscopic system will collapse is overwhelmingly high ...
... probability that the Gaussian immediately after a jump is centred on a given point is equal to the square of the amplitude at that point at the instant just before the jump. These new rules guarantee that the chance that the wave function of a macroscopic system will collapse is overwhelmingly high ...
Quantum Information
... The conceptually interesting situation of quantum entanglement may be summarized as follows: We have (at least) two different experimental stations where we have done measurements on two systems which are entangled with each other. Then, perfect correlations exist between the measurement results on ...
... The conceptually interesting situation of quantum entanglement may be summarized as follows: We have (at least) two different experimental stations where we have done measurements on two systems which are entangled with each other. Then, perfect correlations exist between the measurement results on ...
Factoring 51 and 85 with 8 qubits
... demonstration of this important algorithm, and whether the cases presented here should be considered as such. In our opinion a genuine implementation should use no knowledge of the value of the order r—including whether or not it is a power of two—because the objective of the quantum stage of the al ...
... demonstration of this important algorithm, and whether the cases presented here should be considered as such. In our opinion a genuine implementation should use no knowledge of the value of the order r—including whether or not it is a power of two—because the objective of the quantum stage of the al ...
The Quantum Error Correcting Criteria
... where Ckl is a hermitian matrix. This equation is called the quantum error correcting criteria. It tells us when our encoding into a subspace can protect us from quantum errors Ek . As such it is a very important criteria for the theory of quantum error correction. Let’s show that this is a necessar ...
... where Ckl is a hermitian matrix. This equation is called the quantum error correcting criteria. It tells us when our encoding into a subspace can protect us from quantum errors Ek . As such it is a very important criteria for the theory of quantum error correction. Let’s show that this is a necessar ...
The Dirac Field - SCIPP - University of California, Santa Cruz
... L = i ψ̄∂µ γ µ ψ − mψ̄ψ ≡ i ψ̄ 6 ∂ ψ − mψ̄ψ. Euler-Lagrange equations (varying with respect to ψ, ψ̄ independently: i 6 ∂ ψ − mψ = 0 the Dirac equation. We want to interpret now as quantum fields. ...
... L = i ψ̄∂µ γ µ ψ − mψ̄ψ ≡ i ψ̄ 6 ∂ ψ − mψ̄ψ. Euler-Lagrange equations (varying with respect to ψ, ψ̄ independently: i 6 ∂ ψ − mψ = 0 the Dirac equation. We want to interpret now as quantum fields. ...
Topological Order and the Kitaev Model
... where n is the electron density. Those states for which this quantity is an integer number are called Integer Quantum Hall states (IQH) whereas those states for which ν is a fractional number are, correspondingly, called Fractional Quantum Hall states (FQH). While the former can be understood from ...
... where n is the electron density. Those states for which this quantity is an integer number are called Integer Quantum Hall states (IQH) whereas those states for which ν is a fractional number are, correspondingly, called Fractional Quantum Hall states (FQH). While the former can be understood from ...
Lie point symmetries: An alternative approach to wave
... operator approach to Quantum Mechanics developed by Dirac. The third made use of the intrinsic symmetry properties of the Schrödinger wave-equation. In the method of separation of variables one has to make use of the necessity for the wave-function to tend towards zero as the spatial variable tends ...
... operator approach to Quantum Mechanics developed by Dirac. The third made use of the intrinsic symmetry properties of the Schrödinger wave-equation. In the method of separation of variables one has to make use of the necessity for the wave-function to tend towards zero as the spatial variable tends ...
Integrated devices for quantum information with polarization
... novel concepts introduced within the framework of Quantum Information (QI) theory. Photons are natural candidates for QI transmission since they are practically immune from decoherence and can be distributed over long distances, both in free-space and in low-loss optical fibres. Photons are also imp ...
... novel concepts introduced within the framework of Quantum Information (QI) theory. Photons are natural candidates for QI transmission since they are practically immune from decoherence and can be distributed over long distances, both in free-space and in low-loss optical fibres. Photons are also imp ...