Stability of emergent time periodicity in a few-body interacting system
arXiv:2409.18516 · doi:10.1088/1367-2630/adac86
Abstract
We examine the onset and resilience of emergent time periodicity in a few-body all-to-all interacting Lipkin-Meshkov-Glick model, where one of the constituents is locally in contact with a thermal bath. Employing both a collision model framework and a suitable time-continuous description, we show that stable time-periodic behavior can only be exhibited when the bath acts as a purely dissipative channel. We assess the role that the microscopic interactions within the system play, establishing that for the all-to-all model the introduction of temperature leads to a melting of the emergent time periodicity, in contrast to stable long-time behavior which can be maintained for nearest neighbor type interactions.
arXiv comment8 pages, 4 figures. Close to published version
References in corpus (37)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Decoherence, einselection, and the quantum origins of the classical
- Variational Quantum Algorithms
- Floquet Time Crystals
- Quantum Time Crystals
- Absence of Quantum Time Crystals
- Sequential generation of entangled multi-qubit states
- Non-stationary coherent quantum many-body dynamics through dissipation
- Boundary time crystals
- Decoherence-Free Subspaces and Subsystems
- Continuous Matrix Product States for Quantum Fields
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Excited state quantum phase transitions in many-body systems
- Quantum collision models: open system dynamics from repeated interactions
- Colloquium: Quantum and Classical Discrete Time Crystals
- The ultimate precision limits for noisy frequency estimation
- Computational advantage of quantum random sampling
- Thermodynamics of weakly coherent collisional models
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Collision models can efficiently simulate any multipartite Markovian quantum dynamics
- Many-body physics in the NISQ era: quantum programming a discrete time crystal
- Collision models in open system dynamics: A versatile tool for deeper insights?
- The fate of a discrete time crystal in an open system
- Holographic quantum states
- Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
- Time crystallinity in open quantum systems
- Non-equilibrium steady-states of memoryless quantum collision models
- Entropy production and correlations in a controlled non-Markovian setting
- Quantum time crystals with programmable disorder in higher dimensions
- Precursors of non-Markovianity
- Stark time crystals: Symmetry breaking in space and time
- Rigorous bounds on dynamical response functions and time-translation symmetry breaking
- Quantum thermodynamics of boundary time-crystals
- Constrained optimization of sequentially generated entangled multiqubit states
- Time periodicity from randomness in quantum systems
- Discrete Time Crystals with Absolute Stability
- The time crystal phase emerges from the qubit network under unitary random operations