Realizing non-trivial doublon formation using a quantum computer
arXiv:2403.02229 · doi:10.1103/PhysRevB.110.L020302
Abstract
Dynamical formation of doublons or onsite repulsively bound pairs of particles on a lattice is a highly non-trivial phenomenon. In this work, we show the signatures of doublon formation in a quantum computer by simulating the continuous time quantum walk in the framework of the one dimensional extended Fermi-Hubbard model. By considering two up-component and one down-component particles initially created at the three neighbouring sites at the middle of the lattice and allowing intra- (inter-) component nearest neighbour (onsite) interactions we show the formation a stable onsite doublon in the quantum walk. The probability of such doublon formation is more (less) if the hopping strength of the down particle is weaker (stronger) compared to the up particle. On the contrary, for an initial doublon along with a free up particle, the stability of the doublon is more prominent than the doublon dissociation in the dynamics irrespective of the hopping asymmetry between the two components. We first numerically obtain the signatures of the stable doublon formation in the dynamics and then observe them using Noisy Intermediate-Scale Quantum (NISQ) devices.
5+2 pages, 5+2 figures
References in corpus (61)
- Many-Body Physics with Ultracold Gases
- Nonequilibrium dynamics of closed interacting quantum systems
- Efficient classical simulation of slightly entangled quantum computations
- Efficient simulation of one-dimensional quantum many-body systems
- Quantum random walks - an introductory overview
- Error mitigation for short-depth quantum circuits
- A Mott insulator of fermionic atoms in an optical lattice
- Quantum walks: a comprehensive review
- Extending the computational reach of a noisy superconducting quantum processor
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Efficient variational quantum simulator incorporating active error minimisation
- Repulsively bound atom pairs in an optical lattice
- Microscopic observation of magnon bound states and their dynamics
- Strongly Correlated Quantum Walks in Optical Lattices
- Optimal Quantum Circuits for General Two-Qubit Gates
- Quantum-assisted quantum compiling
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Simulating quantum many-body dynamics on a current digital quantum computer
- Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
- Error-mitigated digital quantum simulation
- Quantum quench in an atomic one-dimensional Ising chain
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Digital quantum simulation of open quantum systems using quantum imaginary time evolution
- Crossing a topological phase transition with a quantum computer
- Crossover from adiabatic to sudden interaction quenches in the Hubbard model: Prethermalization and nonequilibrium dynamics
- Identification of symmetry-protected topological states on noisy quantum computers
- Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution
- Quantum Walk of Two Interacting Bosons
- Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer
- Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
- Out of equilibrium dynamics with Matrix Product States
- Noise-resilient Edge Modes on a Chain of Superconducting Qubits
- Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
- Quantum liquid of repulsively bound pairs of particles in a lattice
- Confinement and Entanglement Dynamics on a Digital Quantum Computer
- Observation of Density-Induced Tunneling
- Open source Matrix Product States: Opening ways to simulate entangled many-body quantum systems in one dimension
- Robust quantum compilation and circuit optimisation via energy minimisation
- Interaction induced fractional Bloch and tunneling oscillations
- Doublon dynamics in the extended Fermi Hubbard model
- Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
- Doublon dynamics and polar molecule production in an optical lattice
- Quantum distillation and confinement of vacancies in a doublon sea
- Stabilizing multiple topological fermions on a quantum computer
- Digital Simulation of Topological Matter on Programmable Quantum Processors
- High-fidelity realization of the AKLT state on a NISQ-era quantum processor
- Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
- Disorderless quasi-localization of polar gases in one-dimensional lattices
- Doublon relaxation in the Bose-Hubbard model
- Two bosonic quantum walkers in one-dimensional optical lattices
- Observing and braiding topological Majorana modes on programmable quantum simulators
- Preparation of the spin-Mott state: a spinful Mott insulator of repulsively bound pairs
- Simulating strongly interacting Hubbard chains with the Variational Hamiltonian Ansatz on a quantum computer
- Signatures of non-trivial pairing in the quantum walk of two-component bosons
- Energetically constrained co-tunneling of cold atoms
- Critical behavior of Ising model by preparing thermal state on quantum computer
- Quantum interference-induced stability of repulsively bound pairs of excitations
- Doublon dynamics of Bose-Fermi mixtures in optical lattices
- Low-energy doublons in the ac-driven two-species Hubbard model
- Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions