Second quantization of the elliptic Calogero
... cases of particular interest to us, can be interpreted as finite temperature representations (the precise statement and proof of this is given in Appendix B.3). Technically, we account for the distributional nature of the quantum fields φ(x) by using a regularization which, roughly speaking, is a ge ...
... cases of particular interest to us, can be interpreted as finite temperature representations (the precise statement and proof of this is given in Appendix B.3). Technically, we account for the distributional nature of the quantum fields φ(x) by using a regularization which, roughly speaking, is a ge ...
Terahertz quantum cascade lasers operating up to ∼ 200 K with
... the threshold current density. For each of the designs, several phonon well thicknesses were considered during the optimization process. This exercise converged towards rather thin injection and extraction barriers, and we found the pairs of states across these barriers (g-u for injection and l-e fo ...
... the threshold current density. For each of the designs, several phonon well thicknesses were considered during the optimization process. This exercise converged towards rather thin injection and extraction barriers, and we found the pairs of states across these barriers (g-u for injection and l-e fo ...
Signed quantum weight enumerators
... magic states from low-fidelity resource states. Our current picture of qubit resource states stems primarily from such explicit code constructions found in 2004 and 2006. Current works are attempting to classify qubit states using non-contextual hidden variable theories, which worked very well for o ...
... magic states from low-fidelity resource states. Our current picture of qubit resource states stems primarily from such explicit code constructions found in 2004 and 2006. Current works are attempting to classify qubit states using non-contextual hidden variable theories, which worked very well for o ...
Singularity of the time-energy uncertainty in adiabatic perturbation
... Perturbation theory1,2 is widely used in many fields of science and engineering as an effective method to find an approximate solution to a given problem, expressed in terms of a power series in a small parameter. In regular perturbation calculations, one only keeps the first few terms of the expans ...
... Perturbation theory1,2 is widely used in many fields of science and engineering as an effective method to find an approximate solution to a given problem, expressed in terms of a power series in a small parameter. In regular perturbation calculations, one only keeps the first few terms of the expans ...
The quantum system - Università degli Studi dell`Insubria
... eigenfunctions which differ only in the direction of k. The eigenfunctions within each subset are said to be degenerate, i. e., they have the same energy but differ in one or more of the eigenvalues needed to completely determine the state of the system. Looking at eq 2, we also see that decreasing ...
... eigenfunctions which differ only in the direction of k. The eigenfunctions within each subset are said to be degenerate, i. e., they have the same energy but differ in one or more of the eigenvalues needed to completely determine the state of the system. Looking at eq 2, we also see that decreasing ...
2 Quantum Theory of Spin Waves
... would again leave the wave function ψS unchanged, but ψS would not have to vanish. Consequently, symmetric wave functions do allow multiple particles to be in the same state. Particles that do not obey the Pauli exclusion principle obey Bose–Einstein statistics, and are called bosons. We will return ...
... would again leave the wave function ψS unchanged, but ψS would not have to vanish. Consequently, symmetric wave functions do allow multiple particles to be in the same state. Particles that do not obey the Pauli exclusion principle obey Bose–Einstein statistics, and are called bosons. We will return ...
Document
... We consider entanglement as a dynamic property of quantum states and examine its behavior in time and space. Some interesting findings: (1) adding more noise helps fight phase-noise disentanglement, and (2) high entanglement induces spatial localization, equivalent to a quantum memory force. • Ting ...
... We consider entanglement as a dynamic property of quantum states and examine its behavior in time and space. Some interesting findings: (1) adding more noise helps fight phase-noise disentanglement, and (2) high entanglement induces spatial localization, equivalent to a quantum memory force. • Ting ...
Quantum violation of classical physics in macroscopic systems
... macroscopic everyday world. While microscopic particles, such as photons, electrons or even large molecules, can nowadays be put into superposition or entangled states [17–19], the concept that a macroscopic object, such as a cat, could be in a superposition state, seems, in Schrödinger’s words, bur ...
... macroscopic everyday world. While microscopic particles, such as photons, electrons or even large molecules, can nowadays be put into superposition or entangled states [17–19], the concept that a macroscopic object, such as a cat, could be in a superposition state, seems, in Schrödinger’s words, bur ...
The rotation of a homonuclear linear molecule
... The parities of the rotational wave functions (their symmetries with respect to inversion) alternate odd and even with successive J. That means that the energy levels correspond to even rotational states for even J and to odd states for odd J. We shall see the significance of this remark about the p ...
... The parities of the rotational wave functions (their symmetries with respect to inversion) alternate odd and even with successive J. That means that the energy levels correspond to even rotational states for even J and to odd states for odd J. We shall see the significance of this remark about the p ...
Chapter 1
... superposed states can be represented as points on a ball (sphere) called Bloch Sphere. The basis states |0 and |1 are just two points on the Bloch Sphere. Superposition is of the form |0 + |1 where and are complex numbers called quantum amplitudes. These values and are so constrained ...
... superposed states can be represented as points on a ball (sphere) called Bloch Sphere. The basis states |0 and |1 are just two points on the Bloch Sphere. Superposition is of the form |0 + |1 where and are complex numbers called quantum amplitudes. These values and are so constrained ...
Quantum State Engineering on an Optical Transition and
... time required for a quantum gate operation. We attribute the measured 1 ms decoherence time to laser and magnetic field fluctuations. Heating of the motional degrees of freedom has also been measured directly to happen at least 1 order of magnitude more slowly. This confirms that in the comparativel ...
... time required for a quantum gate operation. We attribute the measured 1 ms decoherence time to laser and magnetic field fluctuations. Heating of the motional degrees of freedom has also been measured directly to happen at least 1 order of magnitude more slowly. This confirms that in the comparativel ...
72 063623 (2005) .
... In Fig. 1, we plot the snapshots of the orbits at times of multiple period and get the Poincaré section of the phase space for a pair of variables 共Sz , 兲, i.e., z-component spin and the azimuthal angle. It shows one big island and four small islands. Inside the islands motions are stable, outside ...
... In Fig. 1, we plot the snapshots of the orbits at times of multiple period and get the Poincaré section of the phase space for a pair of variables 共Sz , 兲, i.e., z-component spin and the azimuthal angle. It shows one big island and four small islands. Inside the islands motions are stable, outside ...
Ruelle.pdf
... studying infinite Hamiltonian systems, which are technically difficult and for which the concept of volume no longer makes natural sense. For such infinite Hamiltonian systems the entropy production arises from the fact that there are correlations in the description of the system which, in the course of ...
... studying infinite Hamiltonian systems, which are technically difficult and for which the concept of volume no longer makes natural sense. For such infinite Hamiltonian systems the entropy production arises from the fact that there are correlations in the description of the system which, in the course of ...
Linköping University Post Print Compatibility and noncontextuality for sequential measurements
... been debated whether QM can be completed with additional hidden variables (HVs), which would eventually account for the apparent indeterminism of the results of single measurements in QM and may lead to a more detailed deterministic description of the world [1–3]. The problem of distinguishing QM fr ...
... been debated whether QM can be completed with additional hidden variables (HVs), which would eventually account for the apparent indeterminism of the results of single measurements in QM and may lead to a more detailed deterministic description of the world [1–3]. The problem of distinguishing QM fr ...
Theoretical Chemistry I Quantum Mechanics
... 2.7 Momentum-Space Wave Function . . . . . . . . . . . . . . . . . . . . 2.7.1 Gaussian Wave Packets . . . . . . . . . . . . . . . . . . . . . . 2.7.2 Generalization to three dimensions . . . . . . . . . . . . . . . 2.7.3 Appendix: Position representation of the momentum operator ...
... 2.7 Momentum-Space Wave Function . . . . . . . . . . . . . . . . . . . . 2.7.1 Gaussian Wave Packets . . . . . . . . . . . . . . . . . . . . . . 2.7.2 Generalization to three dimensions . . . . . . . . . . . . . . . 2.7.3 Appendix: Position representation of the momentum operator ...
