Tunnelling of a molecule with many bound states in three dimensions

Shegelski, Mark R. A.; Pittman, Joshua; Vogt, Rob; Kavka, Jeremy J; Mandy, M. E.

doi:10.1088/0953-4075/46/4/045201

Cited by 7 publications

(11 citation statements)

References 42 publications

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“…for an exciton with the same physical parameters, e.g. mass, Bohr radius, binding energy) was also observed in another study concerning the tunneling of a molecule in three dimensions with many bound states [52]. That these features are observed in 1D tunneling may be a result of our using a hydrogenic binding function, more realistic than the binding potentials used in previous molecular tunneling studies.…”

Section: Effect Of Changing ãsupporting

confidence: 68%

“…The most obvious is an extension from a one-dimensional hydrogenic exciton model to a three-dimensional model, which could take into account factors such as exciton angular momentum. Calculations of reflection and transmission probabilities for a three-dimensional homonuclear molecule incident upon an external barrier were carried out in [41] and [52]. However, it should be noted that the results in [41] were qualitatively similar to results obtained from studies on 1D homonuclear molecule tunneling, and that novel qualitative results obtained in [52] (e.g.…”

Section: Future Work and Connection To Realistic Systemsmentioning

confidence: 57%

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Tunneling and reflection of an exciton incident upon a quantum heterostructure barrier

Kavka

Shegelski

Hong

2012

J. Phys.: Condens. Matter

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We investigate, in one spatial dimension, the quantum mechanical tunneling of an exciton incident upon a heterostructure barrier. We model the relative motion eigenstates of the exciton using a form of the one-dimensional hydrogen atom which avoids difficulties previously associated with 1D hydrogenic states. We obtain probabilities of reflection and transmission using the method of variable transmission and reflection amplitudes. Our calculations may be broadly divided into two sets. In the first set, we consider general qualitative aspects of exciton tunneling, such as the effect of different effective masses for electrons and holes and a relative difference in electron and hole barrier strengths. The second set models the tunneling of an exciton in a GaAs/Al(x)Ga(1-x)As heterostructure. In these calculations we find that, for energies such that the two lowest exciton states are coupled, the probability spectrum for transition from the ground state to the first excited state is identical to that for transition from the first excited state to the ground state. In addition, narrow peaks in the probability spectrum for transition are observed across this energy range for low dopant concentration x. Other interesting phenomena correlated with these peaks in the transition probability are reported.

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Section: Effect Of Changing ãsupporting

confidence: 68%

Section: Future Work and Connection To Realistic Systemsmentioning

confidence: 57%

Tunneling and reflection of an exciton incident upon a quantum heterostructure barrier

Kavka

Shegelski

Hong

2012

J. Phys.: Condens. Matter

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“…On the other hand, when K a = π/2 + iK a , the equation with + sign corresponds to the case where sgn(J) = sgn(D) = sgn(V 0 ), while that with − sign corresponds to the case where sgn(J) = sgn(V 0 ) = sgn(D). Substituting K a obtained by ( 37) into (10) gives…”

Section: Bound States In the Continuummentioning

confidence: 99%

“…It had been shown that the probability of tunnelling of an object possessing an internal degree of freedom -for example, a diatomic molecule -through a barrier may greatly exceed that of a structureless object with similar properties due to appearance of quasi-bound states in the combined scattering and molecular binding potentials [5][6][7]. Furthermore, interaction of a molecule with the ex- * fumika@physics.ubc.ca † litinskaya@gmail.com ‡ unruh@physics.ubc.ca ternal potential can induce transitions between molecular states due to coupling between relative and centre of mass (CM) coordinate degrees of freedom [9,10].…”

Section: Introductionmentioning

confidence: 99%

Scattering of a composite quasiparticle by an impurity on a lattice

2017

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We study scattering of a composite quasiparticle, which possesses a degree of freedom corresponding to relative separation between two bound excitations, by a delta-like impurity potential on a one-dimensional discrete lattice. Firstly, we show that, due to specific properties of their dispersion, lattice excitations bind to impurities with both negative and positive potentials. We demonstrate that the finite size of the composite excitation leads to formation of multiple excitation-impurity bound states. The number and the degree of localization of these bound states depend on the signs and relative magnitudes of the impurity potential and the binding strength of two quasiparticles. We also report the existence of excitation-impurity bound states whose energies are located in the continuum band. Secondly, we study a change in the entanglement between the centre of mass and relative coordinate degrees of freedom of a biexciton wave packet during single impurity scattering and decoherence caused by it. For a composite quasiparticle on a lattice, the entanglement between its relative and centre of mass coordinate degrees of freedom arises naturally due to inseparability of the two-particle Hamiltonian. One of the main focuses of our study is to investigate how this inseparability affects the creation of the biexciton-impurity bound states and the entanglement dynamics.Comment: 15 pages, 8 figures, accepted by PR

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“…In 2005, Shegelski used this method to extend previously obtained results and thereby revealed more details and behaviours for tunnelling in one and three dimensions [9,10]. Razavy's method was used in studies of molecules having two bound states [9,10], many bound states [11,12], and two bound states with a continuum of unbound states [13]. Formation of a molecule in a bound state by having two atoms incident upon a potential was demonstrated using this method [14].…”

Section: Introductionmentioning

confidence: 95%

Transmission and reflection of a molecule with a dipole moment incident upon a circular hole in a two-dimensional conducting sheet

Shegelski¹,

Salayka-Ladouceur²,

Malmgren³

2016

Eur. J. Phys.

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We consider a one-dimensional molecule with a permanent electric dipole moment incident along the line of symmetry of a circular hole in an infinite two-dimensional conducting sheet. We calculate the probabilities of reflection pR and transmission pT of a centre of mass wave packet initially of the form of a Gaussian wave packet and moving toward the hole. We show the dependence of pT and pR on the charge Q of the atoms, the radius a of the hole as compared to the length scale of the bound molecular relative motion state, the mass and energy of the molecule. We compare a fully quantum mechanical treatment to a semiclassical approximation in which the distance between the atoms is constant. Some unexpected and surprising results emerge from this study.

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Tunnelling of a molecule with many bound states in three dimensions

Cited by 7 publications

References 42 publications

Tunneling and reflection of an exciton incident upon a quantum heterostructure barrier

Tunneling and reflection of an exciton incident upon a quantum heterostructure barrier

Scattering of a composite quasiparticle by an impurity on a lattice

Transmission and reflection of a molecule with a dipole moment incident upon a circular hole in a two-dimensional conducting sheet

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