# Phonon-Induced Pairing in Quantum Dot Quantum Simulator

@article{Bhattacharya2021PhononInducedPI, title={Phonon-Induced Pairing in Quantum Dot Quantum Simulator}, author={Utso Bhattacharya and Tobias Gra{\ss} and Adrian Bachtold and Maciej Lewenstein and Fabio Pistolesi}, journal={Nano Letters}, year={2021}, volume={21}, pages={9661 - 9667} }

Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well-studied system, but still open in many regards, is the Hubbard–Holstein Hamiltonian, where electronic repulsion is in competition with attraction generated by the electron–phonon coupling. In this context, we study the behavior of four quantum dots in a suspended carbon nanotube and coupled to its flexural degrees of freedom. The system is described by a Hamiltonian of the Hubbard…

## One Citation

Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator

- Physics
- 2022

Periodically-driven open quantum systems that never thermalize exhibit a discrete time-crystal behavior, a non-equilibrium quantum phenomena that has shown promise in quantum information processing…

## References

SHOWING 1-10 OF 68 REFERENCES

Quantum State Engineering of a Hubbard System with Ultracold Fermions.

- PhysicsPhysical review letters
- 2018

This work demonstrates the quantum state engineering of a strongly correlated many-body state of the two-component repulsive Fermi-Hubbard model on a square lattice using an ultralow entropy doublon band insulator created through entropy redistribution.

Quantum simulation of a Fermi–Hubbard model using a semiconductor quantum dot array

- PhysicsNature
- 2017

It is shown that for gate-defined quantum dots this disorder can be suppressed in a controlled manner and a detailed characterization of the collective Coulomb blockade transition is realized, which is the finite-size analogue of the interaction-driven Mott metal-to-insulator transition.

Strongly Correlated Bosons on a Dynamical Lattice.

- PhysicsPhysical review letters
- 2018

A bosonic analog of the Peierls transition is discovered, where the translational symmetry of the underlying lattice is spontaneously broken, providing a dynamical mechanism to obtain a topological insulator in the presence of interactions, analogous to the Su-Schrieffer-Heeger model for electrons.

A cold-atom Fermi–Hubbard antiferromagnet

- PhysicsNature
- 2017

The results demonstrate that microscopy of cold atoms in optical lattices can help to understand the low-temperature Fermi–Hubbard model and provide a valuable benchmark for numerical simulations.

Time-Resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices

- PhysicsScience
- 2008

By dynamically modifying the potential bias between neighboring lattice sites, the magnitude and sign of the superexchange interaction can be controlled, thus allowing the system to be switched between antiferromagnetic and ferromagnetic spin interactions.

Spin transport in a Mott insulator of ultracold fermions

- PhysicsScience
- 2019

The technique developed in this work can be extended to finite doping, which can shed light on the complex interplay between spin and charge in the Hubbard model.

Nagaoka ferromagnetism observed in a quantum dot plaquette

- PhysicsNature
- 2020

This demonstration of Nagaoka ferromagnetism highlights that quantum simulators can be used to study physical phenomena that have not yet been observed in any experimental system and constitutes an important step towards large-scale quantum dot simulators of correlated electron systems.

Variational Monte Carlo Study of an Interacting Electron-Phonon Model

- Physics
- 1997

The phase diagram of a Hamiltonian with both on-site repulsion between electrons and with hopping probabilities which depend on dynamically varying separations of neighboring lattice sites has been…

Emulating solid-state physics with a hybrid system of ultracold ions and atoms.

- PhysicsPhysical review letters
- 2013

This system combines the advantages of high fidelity operations and detection offered by trapped ion systems with ultracold atomic systems, and features close analogies to natural solid-state systems, as the atomic degrees of freedom couple to phonons of the ion lattice, thereby emulating a solid- state system.

Cavity optomechanics mediated by a quantum two-level system

- PhysicsNature communications
- 2015

This work presents a design of cavity optomechanics in the microwave frequency regime involving a Josephson junction qubit, and demonstrates boosting of the radiation–pressure interaction by six orders of magnitude, allowing to approach the strong coupling regime.