Exact modeling of finite temperature and quantum delocalization effects on reliability of quantum-dot cellular automata

Tiihonen, Juha; Schramm, Andreas; Kylänpää, Ilkka; Rantala, Tapio T.

doi:10.1088/0022-3727/49/6/065103

Cited by 6 publications

(3 citation statements)

References 35 publications

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“…The fermion sign problem is dealt with the restricted (or fixed-node) path-integral method using free particle nodes [22]. Our simulations at T=0.1 K together with the Trotter number M=3200 [23][24][25] lead to an accurate description of the ground-state electron density.…”

Section: Numerical Frameworkmentioning

confidence: 99%

Stability of the Dirac cone in artificial graphene formed in quantum wells: a computational many-electron study

et al. 2016

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We carry out a comprehensive computational study on the stability of the Dirac cone in artificial graphene realized in nanopatterned quantum wells. Our real-space approach allows us to vary the size, shape, and positioning of the quantum dots in the hexagonal lattice. We compare the (noninteracting) single-particle calculations to density-functional studies within both local-density approximation and meta-generalized-gradient approximation. Furthermore, the density-functional results are compared against numerically precise path-integral quantum Monte Carlo calculations. As a whole, our results indicate high stability of the Dirac bands against external parameters, which is reassuring for further experimental investigations.

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Section: Numerical Frameworkmentioning

confidence: 99%

Stability of the Dirac cone in artificial graphene formed in quantum wells: a computational many-electron study

et al. 2016

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“…In recent years, one of the authors of this tutorial (TTR) has significantly contributed to taking PIMC simulations to new though simple quantum particle systems, such as small atoms 60,61 , molecules [62][63][64][65] , a chemical reaction 66 and quantum dots [67][68][69] , with the ultimate goal of providing a more accurate description of their electronic structure and related properties including many-body effects, and how they change with temperature 61,70,71 . In this context, PIMC has proven to be a very reliable and excellent method to calculate the electric polarisabilities of atomic and molecular systems, leading therefore to an accurate estimation of the optical properties of both individual small quantum systems and collections of them, in the form of dilute gases 65,72,73 .…”

Section: Introductionmentioning

confidence: 99%

Path Integrals: From Quantum Mechanics to Photonics

Robson¹,

Tamashevich²,

Rantala³

et al. 2021

Preprint

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The path integral formulation of quantum mechanics, i.e., the idea that the evolution of a quantum system is determined as a sum over all the possible trajectories that would take that system from the initial to the final state of its dynamical evolution, is perhaps the most elegant and universal framework developed in theoretical physics, second only to the Standard Model of particle physics. In this tutorial, we retrace the steps that led to the creation of such a remarkable framework, discuss its foundations, and present some of the classical examples of problems that can be solved using the path integral formalism, as a way to introduce the readers to the topic, and help them get familiar with the formalism. Then, we focus our attention on the use of path integrals in optics and photonics, and discuss in detail how they have been used in the past to approach several problems, ranging from the propagation of light in inhomogeneous media, to parametric amplification, and quantum nonlinear optics in arbitrary media. To complement this, we also briefly present the Path Integral Monte Carlo (PIMC) method, as a valuable computational resource for condensed matter physics, and discuss its potential applications and advantages if used in photonics.

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“…Several experimental demonstrations of QCA cell in different temperatures have been done. Despite the fact that some studies indicated appropriate behaviour of QCA cell [5, 9, 10] there are several limitations in some temperatures and conditions that cause unsuitable performance [11].…”

Section: Introductionmentioning

confidence: 99%

Design of non‐restoring divider in quantum‐dot cellular automata technology

Mohammadi

Gorgin

Mohammadi

2017

IET Circuits, Devices & Systems

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Among all basic arithmetic operations, the division is the most complex one. On the other hand, working onpost-complementary metal-oxide-semiconductor (CMOS) technology attracts attention of many researchers, while theprogress of miniaturisation in CMOS technology faced physical limits. Therefore, in this study, the authors propose anon-restoring divider in quantumdot cellular automata (QCA), as one of the most promising technology. To achieve anefficient divider, they propose a novel 1 bit full-adder and take advantage of improved design of XOR gate. This designhas considerable improvements in terms of cell numbers, delay and area, compared with other dividers. Thesuggested design is simulated in QCADesigner software and acceptable results are achieved. Floppy Drive-1.

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Exact modeling of finite temperature and quantum delocalization effects on reliability of quantum-dot cellular automata

Abstract: High-efficiency GaInP/GaAs/GaInNAs solar cells grown by combined MBE-MOCVD technique.

Cited by 6 publications

References 35 publications

Stability of the Dirac cone in artificial graphene formed in quantum wells: a computational many-electron study

Stability of the Dirac cone in artificial graphene formed in quantum wells: a computational many-electron study

Path Integrals: From Quantum Mechanics to Photonics

Design of non‐restoring divider in quantum‐dot cellular automata technology

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