Towards Single Atom Computing via High Harmonic Generation

McCaul, Gerard; Bondar, Denys I.

doi:10.48550/arxiv.2104.06322

Cited by 2 publications

(4 citation statements)

References 41 publications

(47 reference statements)

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“…This is most clearly observed in the phenomenon of HHG, and can be exploited to force distinct systems to exhibit identical responses, [43,47] or perform computations. [48] Here, we demonstrate that this nonlinear input-output relationship is non-unique, and can be leveraged to derive a multiplicity of driving fields which all generate the same response. Naturally, the dynamics of any expectation can be considered as a response to external driving, but here we choose the current J(t).…”

Section: Modelmentioning

confidence: 87%

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Non‐Uniqueness of Driving Fields Generating Non‐Linear Optical Response

2022

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In recent years, non‐linear optical phenomena have attracted much attention, with a particular focus on the engineering and exploitation of non‐linear responses. Comparatively little study has, however, been devoted to the driving fields that generate these responses. This work demonstrates that the relationship between a driving field and the optical response it induces is non‐unique. Using a generic model for a strongly interacting system, it is shown that multiple candidate driving field exists, which will all generate the same response. Consequently, it is possible to show that the optical response is not sufficient to determine the internal dynamics of the system, and that different solutions for the driving field will do different amounts of work on a system. Physically, the work done indicates the energy absorbed by the system from the field and will therefore correspond to modifying the absorption spectrum of the material. This non‐uniqueness phenomenon may be further utilized to engineer thermodynamically efficient system states without modifying its optical response.

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Section: Modelmentioning

confidence: 87%

“…[14,[39][40][41][42][43]47] We begin by modeling a many-electron system interacting with a classical field via the dipole approximation. [42,48] For a lattice system using fermionic annihilation operators ĉj𝜎 , this leads to the Hamiltonian:…”

Section: Modelmentioning

confidence: 99%

Non‐Uniqueness of Driving Fields Generating Non‐Linear Optical Response

2022

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“…Prominent among these are optical effects, where the relationship between the driving field E(t) and optical response J(t) can exhibit extreme non-linearity. This is most clearly observed in the phenomenon of HHG, and can be exploited to force distinct systems to exhibit identical responses [42,46], or perform efficient computations [47].…”

Section: Modelmentioning

confidence: 98%

“…Here we demonstrate that this nonlinear input-output relationship is non-unique, and can be leveraged to derive a multiplicity of driving fields which all generate the same response J(t). We begin by modelling a many-electron system interacting with a classical field via the dipole approximation [41,47]. For a lattice system using fermionic annhilation operators ĉjσ , this leads to the Hamiltonian:…”

Section: Modelmentioning

confidence: 99%

Non-Uniqueness of Non-Linear Optical Response

McCaul,

King,

Bondar

2021

Preprint

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In recent years, non-linear optical phenomena have attracted much attention, with a particular focus on the engineering and exploitation of non-linear responses. Comparatively little study has however been devoted to the driving fields that generate these responses. In this work, we demonstrate that the relationship between a driving field and the optical response it induces is not-unique. Using a generic model for a strongly interacting system, we show that multiple candidate driving field exists, which will all generate the same response. Consequently, it is possible show that the optical response is not sufficient to determine the internal dynamics of the system, and that different solutions for the driving field will do different amounts of work on a system. This non-uniqueness phenomenon may in future be utilised to engineer internal system states without modifying its optical response.

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Towards Single Atom Computing via High Harmonic Generation

Cited by 2 publications

References 41 publications

Non‐Uniqueness of Driving Fields Generating Non‐Linear Optical Response

Non‐Uniqueness of Driving Fields Generating Non‐Linear Optical Response

Non-Uniqueness of Non-Linear Optical Response

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