80 research outputs found
Determination of When an Outcome is Actualised in a Quantum Measurement using DNA - Photolyase System
The biochemical attachment of photolyase to ultraviolet (uv) absorbed DNA
molecules provides a method for registering whether a source has emitted
photons. Here using laws of chemical kinetics and related experimental methods
we argue that the instant after which this information becomes discernible can
be empirically determined by retrodicting from relevant data when the
photolyase binding to uv-absorbed DNA molecules has started occuring. Thus an
empirically investigable twist is provided to the quantum measurement problem.Comment: 9 Pages,LaTeX,Revised Communicating author: Rajagopal Chattopadhyay,
[email protected]
Barrier Perturbation Induced Superarrivals and Nonlocality in a Time-Evolving Wave Packet
We compute the time evolving probability of a Gaussian wave packet to be
reflected from a rectangular potential barrier which is perturbed by reducing
its height. A time interval is found during which this probability of
reflection is enhanced (superarrivals) compared to the unperturbed case. Such a
time evolving reflection probability implies that the effect of perturbation
propagates across the wave packet faster than its group velocity - a curious
form of nonlocality.Comment: latex, 6 figure
Bell's Inequality, Quantum Measurement and Einstein Realism: A Unified Perspective
The logical foundations of Bell's inequality are reexamined. We argue that
the form of the reality condition that underpins Bell's inequality comes from
the requirement of solving the quantum measurement problem. Hence any violation
of Bell's inequality necessarily implies nonlocality because of the measurement
problem. The differences in the implications of deterministic and stochastic
formulations of Bell's inequality are highlighted. The reality condition used
in Bell's inequality is shown to be a generalisation of Einstein's later form
of realism.Comment: 15 page
Interpreting the time of decay measurement: phenomenological significance of the Bohm model
We point out that the spreading of wave packets could be significant in
affecting the analysis of experiments involving the measurement of time of
decay. In particular, we discuss a hitherto unexplored application of the Bohm
model in properly taking into account the nontrivial effect of wave packet
spreading in the CP violation experiment.Comment: 8 pages, Late
Ipso-information-transfer
A tripartite system with entangled non-orthogonal states is used to transfer
retrievable or usable information without requiring an external channel,
ipso-information-transfer (IIT). The non-Schmidt decomposable entanglement
couples two independent interactions through which the information is
transferred between a pair of non-interacting components of the system. We
outline a dynamical model of IIT using localised particles. Implications for
quantum nonlocality are raised.Comment: 4 pages, no figure
On the possibility of empirically probing the Bohmian model in terms of the testability of quantum arrival/transit time distribution
The present article focuses on studying the extent to which the nonuniqueness
that is inherent in the standard quantum mechanical calculation of
arrival/transit time distribution can be exploited to enable an empirical
scrutiny of any causal trajectory model such as the Bohmian scheme. For this
purpose, we consider the example of spin-1/2 neutral particles corresponding to
a wave packet which passes through a spin rotator(SR) that contains constant
magnetic field confined within a region - in such a case, the transit time
distribution can be measured in terms of the spin distribution of particles
emerging from the SR. In particular, we investigate the way one can compare the
Bohmian predictions obtained for this example with that using one of the
quantum approaches, say, the probability current density based scheme. Here the
Bohmian calculational procedure involves a couple of critical subtleties that
lead to some specific directions for further studies.Comment: 18 pages, 1 Figur
Testing local-realism and macro-realism under generalized dichotomic measurements
Generalised quantum measurements with two outcomes are fully characterised by
two real parameters, dubbed as sharpness parameter and biasedness parameter and
they can be linked with different aspects of the experimental setup. It is
known that precision of measurements, characterised by the sharpness parameter
of the measurements, reduces the possibility of probing quantum features like
violation of local-realism (LR) or macro-realism (MR). Here we investigate the
effect of biasedness together with sharpness of measurement and find a
trade-off between those two parameters in the context of probing violation of
LR and MR. Interestingly we also find the above mentioned trade-off is more
robust in the later case.Comment: 10 pages, 3 figure
Manifestation of pointer state correlations in complex weak values of quantum observables
In the weak measurement (WM) scenario involving weak interaction and
postselection by projective measurement, the empirical significance of weak
values is manifested in terms of shifts in the measurement pointer's mean
position and mean momentum. In this context, a general quantitative treatment
is presented in this paper by taking into account the hitherto unexplored
effect of correlations among the pointer degrees of freedom which pertain to an
arbitrary multidimensional preselected pointer state. This leads to an
extension of the earlier results, showing that, for complex weak values, the
correlations among different pointer degrees of freedom can crucially affect
the way the imaginary parts of the weak values are related to the observed
shifts of the mean pointer position and momentum. The particular relevance of
this analysis is discussed in the case of sequential weak interactions,
followed by a postselection (called sequential WM) which, in the special case,
reduces to the usual WM scheme involving a single weak interaction and
postseletion, modified by the effect of pointer state correlations
A testable prediction of the no-signalling condition using a variant of the EPR-Bohm example
Predictive power of the no-signalling condition (NSC) is demonstrated in a
testable situation involving a non-ideal Stern-Gerlach (SG) device in one of
the two wings of the EPR-Bohm entangled pairs. In this wing, for two types of
measurement in the other wing, we consider the spin state of a selected set of
particles that are confined to a particular half of the plane while emerging
from the SG magnetic field region. Due to non-idealness of the SG setup, this
spin state will have superposing components involving a relative phase for
which a testable quantitative constraint is obtained by invoking NSC, thereby
providing a means for precision testing of this fundamentally significant
principle.Comment: 7 page
Communicating with a wave packet using quantum superarrival
An analytical treatment of a propagating wave packet incident on a transient
barrier reveals a counterintuitive quantum mechanical effect in which, for a
particular time interval, the time-varying transmission probability {\it
exceeds} (`superarrival') that for the free propagation of the wave packet. It
is found that the speed with which the information about the barrier
perturbation propagates across the wave packet can exceed the group velocity of
the wave packet. An interesting implication of this effect regarding
information transfer is analyzed by showing one-to-one correspondence between
the strength of the barrier and the magnitude of `superarrival'.Comment: 4 pages, latex, 3 fig
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