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Chiral Graviton Modes on the Lattice
Hernan B Xavier1,2, Zeno Bacciconi1,2, Titas Chanda3,4
1ICTP-The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy.
Physical Review Letters
|November 21, 2025
Summary
Chiral graviton modes, elusive quantum excitations, are shown to exist in lattice models, not just continuum theories. Geometric quenches offer a new experimental method for their observation in quantum simulations.
Area of Science:
- Condensed Matter Physics
- Quantum Field Theory
- Quantum Simulation
Background:
- Chiral graviton modes are theoretical excitations linked to fractional quantum Hall states.
- Their existence in lattice models, where translation symmetry is broken, is uncertain due to quasiparticle decay.
Purpose of the Study:
- To investigate the persistence of chiral graviton modes in lattice models.
- To develop a theoretical framework for lattice chiral graviton operators.
- To identify experimental probes for observing these modes.
Main Methods:
- Derivation of a field theory for lattice chiral graviton operators.
- Application of the theory to the bosonic Harper-Hofstadter model.
- Extensive numerical simulations to validate the operators and modes.
Main Results:
- Chiral graviton modes are demonstrated to exist and persist in lattice models.
- The proposed lattice operators effectively capture these modes.
- Geometric quenches are identified as a promising experimental probe.
Conclusions:
- The concept of chiral graviton modes extends beyond continuum theories to lattice systems.
- Lattice chiral graviton operators provide a valid description.
- Quantum simulations using geometric quenches can experimentally explore these modes.
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