16,380 research outputs found
Sufficient conditions for uniqueness of the weak value
We review and clarify the sufficient conditions for uniquely defining the
generalized weak value as the weak limit of a conditioned average using the
contextual values formalism introduced in Dressel J, Agarwal S and Jordan A N
2010 Phys. Rev. Lett. 104, 240401. We also respond to criticism of our work in
[arXiv:1105.4188v1] concerning a proposed counter-example to the uniqueness of
the definition of the generalized weak value. The counter-example does not
satisfy our prescription in the case of an underspecified measurement context.
We show that when the contextual values formalism is properly applied to this
example, a natural interpretation of the measurement emerges and the unique
definition in the weak limit holds. We also prove a theorem regarding the
uniqueness of the definition under our sufficient conditions for the general
case. Finally, a second proposed counter-example in [arXiv:1105.4188v6] is
shown not to satisfy the sufficiency conditions for the provided theorem.Comment: 17 pages, final published respons
Stochastic dynamics of a Josephson junction threshold detector
We generalize the stochastic path integral formalism by considering
Hamiltonian dynamics in the presence of general Markovian noise. Kramers'
solution of the activation rate for escape over a barrier is generalized for
non-Gaussian driving noise in both the overdamped and underdamped limit. We
apply our general results to a Josephson junction detector measuring the
electron counting statistics of a mesoscopic conductor. Activation rate
dependence on the third current cumulant includes an additional term
originating from the back-action of the measurement circuit.Comment: 5 pages, 2 figures, discussion of experiment added, typos correcte
Action principle for continuous quantum measurement
We present a stochastic path integral formalism for continuous quantum
measurement that enables the analysis of rare events using action methods. By
doubling the quantum state space to a canonical phase space, we can write the
joint probability density function of measurement outcomes and quantum state
trajectories as a phase space path integral. Extremizing this action produces
the most-likely paths with boundary conditions defined by preselected and
postselected states as solutions to a set of ordinary differential equations.
As an application, we analyze continuous qubit measurement in detail and
examine the structure of a quantum jump in the Zeno measurement regime.Comment: Published version. 8 pages, 3 figures, movies available at
http://youtu.be/OQ3PwkSKEUw and http://youtu.be/sTlV2amQtj
Thermal correlators of anyons in two dimensions
The anyon fields have trivial -commutator for not integer.
For integer the commutators become temperature-dependent operator
valued distributions. The -point functions do not factorize as for quasifree
states.Comment: 14 pages, LaTeX (misprints corrected, a reference added
Weak measurement of quantum dot spin qubits
The theory of weak quantum measurements is developed for quantum dot spin
qubits. Building on recent experiments, we propose a control cycle to prepare,
manipulate, weakly measure, and perform quantum state tomography. This is
accomplished using a combination of the physics of electron spin resonance,
spin blockade, and Coulomb blockade, resulting in a charge transport process.
We investigate the influence of the surrounding nuclear spin environment, and
find a regime where this environment significantly simplifies the dynamics of
the weak measurement process, making this theoretical proposal realistic with
existing experimental technology. We further consider spin-echo refocusing to
combat dephasing, as well as discuss a realization of "quantum undemolition",
whereby the effects of quantum state disturbance are undone.Comment: 8 pages, 2 figure
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