Quantum heating of a parametrically modulated oscillator: Spectral signatures M. Marthaler,
... eigenfrequency ω0 . As a result of parametric resonance, the oscillator can start vibrating at frequency ωF /2. A classical oscillator has two stationary vibrational states with the same amplitude and the phases that differ by π [21]. They are determined by the balance between the modulation, the di ...
... eigenfrequency ω0 . As a result of parametric resonance, the oscillator can start vibrating at frequency ωF /2. A classical oscillator has two stationary vibrational states with the same amplitude and the phases that differ by π [21]. They are determined by the balance between the modulation, the di ...
Heisenberg Uncertainty Principle
... The measuring process in QM always effects the subjected quantum particle. The more exact the measurement the greater the effect. Reducing the accuracy reduces the effect on the particle. It is impossible in principle to make the effect arbitrarily small. ...
... The measuring process in QM always effects the subjected quantum particle. The more exact the measurement the greater the effect. Reducing the accuracy reduces the effect on the particle. It is impossible in principle to make the effect arbitrarily small. ...
A Bird`s-Eye View of Density
... by their potential v(r), and supplies a prescription for dealing with the universal operators T̂ and Û once and for all.8 Furthermore, DFT provides a way to systematically map the many-body problem, with Û, onto a single-body problem, without Û. All this is done by promoting the particle density ...
... by their potential v(r), and supplies a prescription for dealing with the universal operators T̂ and Û once and for all.8 Furthermore, DFT provides a way to systematically map the many-body problem, with Û, onto a single-body problem, without Û. All this is done by promoting the particle density ...
Minimal normal measurement models of quantum instruments
... fact that every measurement realizing a quantum device, i.e., a quantum observable, channel or instrument, can be described as a protocol in which an observed system is brought in contact with a measurement apparatus and after interaction the value of the measured quantity is read from the apparatus ...
... fact that every measurement realizing a quantum device, i.e., a quantum observable, channel or instrument, can be described as a protocol in which an observed system is brought in contact with a measurement apparatus and after interaction the value of the measured quantity is read from the apparatus ...
Post-quantum Security of the CBC, CFB, OFB, CTR
... depicted in Figure 1 (b). – Say we want to show that c2 = H(m2 ⊕ c1 ) is indistinguishable from random (the situation in Figure 1 (b). At a first glance, this seems simple: m2 ⊕ c1 is uniformly random, so the probability that it collides with other H-queries is negligible, hence H(m2 ⊕ c1 ) is unifo ...
... depicted in Figure 1 (b). – Say we want to show that c2 = H(m2 ⊕ c1 ) is indistinguishable from random (the situation in Figure 1 (b). At a first glance, this seems simple: m2 ⊕ c1 is uniformly random, so the probability that it collides with other H-queries is negligible, hence H(m2 ⊕ c1 ) is unifo ...
Quantum Physics and the Holy Grail BRIAN JOHN PICCOLO
... collectively, work on them now. The best way to work on these things is to first have a basic understanding of occult history. This is the hidden history as to how we really got here. If the eye is open and the mind receptive, one will notice that we have four stages of consciousness. We experience ...
... collectively, work on them now. The best way to work on these things is to first have a basic understanding of occult history. This is the hidden history as to how we really got here. If the eye is open and the mind receptive, one will notice that we have four stages of consciousness. We experience ...
No. 18 - Department of Mathematics
... related to the superconformal symmetry algebra psu(2, 2|4). We also discuss general features of classical integrability, higher charges and Lax pairs, using as a toy model the theory of the principal chiral field (14). Starting from section 4, we enter the core of the topic of this review, i.e. the ...
... related to the superconformal symmetry algebra psu(2, 2|4). We also discuss general features of classical integrability, higher charges and Lax pairs, using as a toy model the theory of the principal chiral field (14). Starting from section 4, we enter the core of the topic of this review, i.e. the ...
Bessel Functions and Their Applications: Solution to Schrödinger
... probability of finding the particle at same point ( | | ). In order to describe any system in quantum mechanics, we must be able to determine what the wave function is numerically. The Schrödinger equation is a differential equation that we can use to solve for the wave function quantitatively. In t ...
... probability of finding the particle at same point ( | | ). In order to describe any system in quantum mechanics, we must be able to determine what the wave function is numerically. The Schrödinger equation is a differential equation that we can use to solve for the wave function quantitatively. In t ...
Exercises in Statistical Mechanics ====== [Exercise 0010
... (b) Calculate the partition function of the diatomic molecule, assuming that it is like a classical rigid rotor. Define the condition on the temperature for this approximation to hold. (c) Calculate the partition function of the diatomic molecule, if the temperature is very low, taking only the ` = ...
... (b) Calculate the partition function of the diatomic molecule, assuming that it is like a classical rigid rotor. Define the condition on the temperature for this approximation to hold. (c) Calculate the partition function of the diatomic molecule, if the temperature is very low, taking only the ` = ...
Quantum Money from Hidden Subspaces
... the bank that printed it. As with public-key cryptography in the 1970s, it is far from obvious a priori whether public-key quantum money is possible at all. Can a bank publish a description of a quantum circuit that lets people feasibly recognize a state |ψi, but does not let them feasibly prepare o ...
... the bank that printed it. As with public-key cryptography in the 1970s, it is far from obvious a priori whether public-key quantum money is possible at all. Can a bank publish a description of a quantum circuit that lets people feasibly recognize a state |ψi, but does not let them feasibly prepare o ...
Phase Transitions - Helmut Katzgraber
... This implies that for the limit N → ∞ the energy difference goes to minus infinity which means that the building of a domain wall is energetically more favourable. More and more domain walls are built and we will not observe a state with all spins up (or down). Thus there is on phase transition in o ...
... This implies that for the limit N → ∞ the energy difference goes to minus infinity which means that the building of a domain wall is energetically more favourable. More and more domain walls are built and we will not observe a state with all spins up (or down). Thus there is on phase transition in o ...
BergaCare smartLipids® lidocaine - increased dermal anesthetic
... penetration. Secondly, lipophilic ointments cannot be entirely removed from skin without soap or alcohol. Because both should be avoided prior to an invasive skin treatment, non-removed lidocaine can enter the blood circulation unhindered increasing the risk of serious adverse reactions e.g. tremor, ...
... penetration. Secondly, lipophilic ointments cannot be entirely removed from skin without soap or alcohol. Because both should be avoided prior to an invasive skin treatment, non-removed lidocaine can enter the blood circulation unhindered increasing the risk of serious adverse reactions e.g. tremor, ...
part 2 (10.2, 10.3, and 10.4)
... Note 1: Thus, every periodic function can be decomposed into a sum of one or more cosine and/or sine terms of selected frequencies determined solely by that of the original function. Conversely, by superimposing cosines and/ or sines of a certain selected set of frequencies we can reconstruct any p ...
... Note 1: Thus, every periodic function can be decomposed into a sum of one or more cosine and/or sine terms of selected frequencies determined solely by that of the original function. Conversely, by superimposing cosines and/ or sines of a certain selected set of frequencies we can reconstruct any p ...
history of quantum computing
... standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any further measurements will give the same result. 3. Entanglement. There e ...
... standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any further measurements will give the same result. 3. Entanglement. There e ...
Classical Electrodynamics - Duke Physics
... semester course in electrodynamics that covers pretty much “all” of the theory itself (omitting, of course, many topics or specific areas where it can be applied) out to the points where the theory itself breaks down as noted above. At that point, to make further progress a student needs to learn a ...
... semester course in electrodynamics that covers pretty much “all” of the theory itself (omitting, of course, many topics or specific areas where it can be applied) out to the points where the theory itself breaks down as noted above. At that point, to make further progress a student needs to learn a ...
Quantum Annealing with Markov Chain Monte Carlo Simulations
... the state |ψ, the measurement outcome is a random variable that takes values in {λ1 , λ2 , . . . , λr }, with probability distribution P ( = λa ) = tr(Qa |ψψ|) = ψ|Qa |ψ, a = 1, 2, . . . , r. Statistically, we may perform measurements on M for the quantum system multiple times to obtain meas ...
... the state |ψ, the measurement outcome is a random variable that takes values in {λ1 , λ2 , . . . , λr }, with probability distribution P ( = λa ) = tr(Qa |ψψ|) = ψ|Qa |ψ, a = 1, 2, . . . , r. Statistically, we may perform measurements on M for the quantum system multiple times to obtain meas ...
Polarization control of single photon quantum
... Despite these successes, the optical tools for controlling the OAM quantum states remain rather limited and/or cumbersome: a wider and more practical control of the OAM resource somehow analogous to that currently possible for the polarization degree of freedom is yet to be achieved. A promising app ...
... Despite these successes, the optical tools for controlling the OAM quantum states remain rather limited and/or cumbersome: a wider and more practical control of the OAM resource somehow analogous to that currently possible for the polarization degree of freedom is yet to be achieved. A promising app ...
Interaction-based nonlinear quantum metrology with a cold atomic ensemble
... Moreover, noise can play a role also at the stage of the interaction between the probe and the system, because of unknown, or not under control, mechanisms, e.g., how the room temperature affects the thermometer while it is measuring. It is crucial to make a distinction between sources of noise. The ...
... Moreover, noise can play a role also at the stage of the interaction between the probe and the system, because of unknown, or not under control, mechanisms, e.g., how the room temperature affects the thermometer while it is measuring. It is crucial to make a distinction between sources of noise. The ...
Clustered states in the fractional quantum Hall effect
... is an intuitive understanding of the effect and the formation of plateaux. Chapter 3 is als a self-contained introduction, but from a different point of view. In this chapter we aim at a firm understanding of the electron wavefunctions, describing both single- and multiparticle wavefunctions. We als ...
... is an intuitive understanding of the effect and the formation of plateaux. Chapter 3 is als a self-contained introduction, but from a different point of view. In this chapter we aim at a firm understanding of the electron wavefunctions, describing both single- and multiparticle wavefunctions. We als ...