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Quantum dynamics in Krylov space: Methods and applications

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June 1, 2025
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Quantum dynamics in Krylov space: Methods and applications

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Quantum Phase Transitions in the 1D Bose-Hubbard Model: From Local Interactions to Cavity-Mediated Dissipation

The Bose-Hubbard model provides a foundational paradigm for exploring quantum phase transitions in many-body systems. This thesis presents a systematic investigation into this model and its extensi...

openalex.org › research concept
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Quantum Phase Transitions in the 1D Bose-Hubbard Model: From Local Interactions to Cavity-Mediated Dissipation

The Bose-Hubbard model provides a foundational paradigm for exploring quantum phase transitions in many-body systems. This thesis presents a systematic investigation into this model and its extensi...

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The Vlasov Bivector : A Parameter-Free Approach to Vlasov Kinematics

Plasma kinematics is typically performed on either the mass shell or a lab bundle, 7--dimensional phase spaces equipped with a Vlasov vector field. This choice of phase space encodes the parametris...

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Replication Data for the manuscript: Adjoint-State Identifiability of Piezo-Tunable Valley Splitting in 2D Magnetic Heterostructures

Title: Replication Data for: Adjoint-State Identifiability of Piezo-Tunable Valley Splitting in 2D Magnetic Heterostructures Description: This repository contains the complete multiscale computatio...

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Are there open-source GitHub repositories related to Quantum dynamics in Krylov space: Methods and applications?

Yes, open-source projects like QuipNetwork/xq-rs (A rust implementation of the Quip Network's quantum virtual machine.) are actively building upon these concepts.

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Commercial Realization

Startups and Open Source tools heavily associated with the concepts explored in this paper.

  • GitHub
    QuipNetwork/xq-rs
    A rust implementation of the Quip Network's quantum virtual machine.
  • GitHub
    QuipNetwork/xq-py
    A python implementation of the Quip Network's quantum virtual machine

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