Publisher's Note: Generic quantum walks with memory on regular graphs [Phys. Rev. A<b>93</b>, 042323 (2016)]

Li, Dan; Gettrick, Michael Mc; Gao, Fei; Xu, Jie; Wen, Qiaoyan

doi:10.1103/physreva.93.049905

Cited by 11 publications

(14 citation statements)

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“…Previously, a few studies have been made where memory has been incorporated in different ways in a quantum walk [11][12][13][14][15]. Both short term and long term memory have been considered but in a very different manner.…”

Section: Introductionmentioning

confidence: 99%

Persistent quantum walks: Dynamic phases and diverging timescales

Mukhopadhyay

Sen

2020

Phys. Rev. Research

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A discrete time quantum walk is considered in which the step lengths are chosen to be either 1 or 2 with the additional feature that the walker is persistent with a probability p. This implies that with probability p, the walker repeats the step length taken in the previous step and is otherwise antipersistent. We estimate the probability P (x, t) that the walker is at x at time t and the first two moments. Asymptotically, x 2 = t ν for all p. For the extreme limits p = 0 and 1, the walk is known to show ballistic behaviour, i.e., ν = 2. As p is varied from zero to 1, the system is found in four different phases characterised by the value of ν: ν = 2 at p = 0, 1 ≤ ν ≤ 3/2 for 0 < p < pc, ν = 3/2 for pc < p < 1 and ν = 2 again at p = 1. pc is found to be very close to 1/3 numerically. Close to p = 0, 1, the scaling behaviour shows a crossover in time. Associated with this crossover, two diverging timescales varying as 1/p and 1/(1 − p) close to p = 0 and p = 1 respectively are detected. Using a different scheme in which the antipersistence behaviour is suppressed, one gets ν = 3/2 for the entire region 0 < p < 1. Further, a measure of the entropy of entanglement is studied for both the schemes.

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Section: Introductionmentioning

confidence: 99%

Persistent quantum walks: Dynamic phases and diverging timescales

Mukhopadhyay

Sen

2020

Phys. Rev. Research

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“…At present, GRW values can be regarded as a sort of lower limit, in the sense that weaker values of λ would not guarantee a sufficiently rapid collapse of macroscopic human-scale quantum superpositions and * Electronic address: matteo.carlesso@ts.infn.it † Electronic address: bassi@ts.infn.it ‡ Electronic address: anvinante@fbk.eu this runs counter the original motivation of the model [7]. Experimental tests of the CSL model can be done either with matter-wave interference experiments [8][9][10][11][12][13] or with noninterferometric methods [14][15][16][17][18][19][20][21]. The strongest upper bounds so far have been set by the latter, in particular by X-ray spontaneous emission for r C < 10 −6 m [22] and by force noise measurements on ultracold cantilevers for r C > 10 −6 m [23].…”

Section: Introductionmentioning

confidence: 99%

Experimental bounds on collapse models from gravitational wave detectors

et al. 2016

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Wave function collapse models postulate a fundamental breakdown of the quantum superposition principle at the macroscale. Therefore, experimental tests of collapse models are also fundamental tests of quantum mechanics. Here, we compute the upper bounds on the collapse parameters, which can be inferred by the gravitational wave detectors LIGO, LISA Pathfinder, and AURIGA. We consider the most widely used collapse model, the continuous spontaneous localization (CSL) model. We show that these experiments exclude a huge portion of the CSL parameter space, the strongest bound being set by the recently launched space mission LISA Pathfinder. We also rule out a proposal for quantum-gravity-induced decoherence

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“…In addition, results for ANC A NC of new work Ref. 49 are known, which we present in a separate Table 5. These results, however, within limits of errors, coincide with the results from Refs.…”

Section: Potentials Of the P 14 N Interaction In Different Statesmentioning

confidence: 99%

Reaction rate of p14N →15Oγ capture to all bound states in potential cluster model

Dubovichenko

Burkova

Dzhazairov-Kakhramanov

et al. 2020

Int. J. Mod. Phys. E

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Review of calculation results for astrophysical S-factor of the 14 N(р,  15 О capture reaction in the p 14 N channel of 15 O was presented. It was carried out in the frame of the modified potential cluster model, taking into account resonances in the 15 O spectrum up to 3.2 MeV at energy of incident protons varying from 30 keV to 5 MeV. It is possible to describe experimental data for the astrophysical Sfactors of the radiative proton capture on 14 N to five excited states of 15 O at excitation energies from 5.18 MeV to 6.86 MeV, only under assumption, that all five resonances are D scattering waves. Quality new physical interpretation of the capture mechanism is discussed in this channel to the ground state of 15 O. Carried out by us assumption that the ground state of 15 O is determined by the p 14 N * channel with excited 14 N * cluster, immediately allowed us to correctly describe order of values of the experimental S-factor for capture to this state. Taking into account these results, the total S-factor of the proton capture on 14 N and the reaction rates to the ground and five excited states of 15 O were determined at temperatures from 0.01 to 10 T 9 . The parametrization of the total reaction rate with a simple form is performed, which allows to obtain  2 equal to 0.06 with 5% errors of the calculated rate.1. With an excitation energy of 5.183(1) MeV above BS or -2.1141 MeV in c.m. Ref. 26 relative to threshold of the р 14 N channel, there is a first excited, but bound in this channel, state with the moment J  = 1/2 + , which can be matched to the doublet 2 S 1/2 wave with FS. Although such state can, of course, be considered as a quartet 4 D 1/2 wave with FS.2. The second ES (2 nd ES) with an excitation energy of 5.2409(3) MeV Ref. 26 relative to the GS or -2.0562 MeV relative to the threshold of the р 14 N channel has J  = 5/2 + and it can be matched to the mixture of doublet and quartet 2+4 D 5/2 waves with FS.3. The third excited state (3 rd ES) at an excitation energy of 6.1763(17) MeV Ref. 26 relative to the GS or -1.1208 MeV relative to channel threshold has J  = 3/2and it can be compared to a mixture of doublet and quartet 2+4 Р 3/2 -waves without an associated FS.4. The fourth excited state (4 th ES) has an excitation energy of 6.7931(17) MeV relative to the GS or -0.504 MeV Ref. 26 or relative to the channel threshold has J  = 3/2 + and it can be compared with the quartet 4 S 3/2 wave with the FS. Of course, this state may also be a mixture of doublet and quartet 2+4 D 3/2 waves with the FS.5. The fifth excited state (5 th ES) with an excitation energy of 6.8594(9) MeV Ref. 26 relative to the GS or -0.4377 MeV relative to the channel threshold has J  = 5/2 + and it can also be compared to a mixture of doublet and quartet 2+4 D 5/2 wave with the FS 6. There is another bound state in the р 14 N channel with J  = 7/2 + at an excitation energy of 7.2759(6) MeV Ref. 26 relative to the GS or -0.0212 MeV relative to the threshold of the considered channel, which can be compared to the 4 D 7/2 s...

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Publisher's Note: Generic quantum walks with memory on regular graphs [Phys. Rev. A93, 042323 (2016)]

Cited by 11 publications

References 0 publications

Persistent quantum walks: Dynamic phases and diverging timescales

Persistent quantum walks: Dynamic phases and diverging timescales

Experimental bounds on collapse models from gravitational wave detectors

Reaction rate of p14N →15Oγ capture to all bound states in potential cluster model

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