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Entangling Dynamics from Effective Rotor-Spin-Wave Separation in U(1)-Symmetric Quantum Spin Models
Tommaso Roscilde1, Tommaso Comparin1, Fabio Mezzacapo1
1Univ Lyon, Ens de Lyon, CNRS, Laboratoire de Physique, F-69342 Lyon, France.
Physical Review Letters
|November 5, 2023
Summary
Quantum spin model dynamics are challenging. This study shows power-law interactions can effectively simulate the one-axis-twisting (OAT) model, enabling new quantum simulation possibilities.
Area of Science:
- Quantum physics
- Many-body systems
- Quantum simulation
Background:
- Non-equilibrium dynamics of quantum spin models are complex due to Hilbert space size.
- Understanding entangled states generated by quantum simulators is crucial.
- U(1)-symmetric Hamiltonians evolving from symmetry-breaking states are particularly important.
Purpose of the Study:
- To demonstrate that systems with power-law decaying interactions can effectively reproduce the dynamics of the one-axis-twisting (OAT) model.
- To explain the mechanism behind this reproduction, involving the separation of zero-momentum and finite-momentum degrees of freedom.
- To provide a theoretical basis for recent experimental observations and extend their applicability.
Main Methods:
- Analyzing the dynamics of the one-axis-twisting (OAT) model.
- Investigating systems with power-law decaying interactions.
- Identifying the role of Anderson tower of states (zero-momentum) and spin-wave excitations (finite-momentum).
Main Results:
- The dynamics of the OAT model can be closely reproduced by systems with power-law decaying interactions.
- An effective separation occurs between zero-momentum degrees of freedom (Anderson tower) and finite-momentum degrees of freedom (spin waves).
- This mechanism quantitatively explains spin squeezing and Schrödinger cat-state generation in dipolar Hamiltonians.
Conclusions:
- Power-law decaying interactions provide an effective route to simulate the OAT model dynamics.
- The separation of degrees of freedom is key to this simulation.
- This finding broadens the scope of quantum simulation models capable of generating entangled states.
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