Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics
arXiv:2308.04716 · doi:10.1103/PhysRevResearch.6.013004
Abstract
We show that noisy nonunitary dynamics of bosons drives arbitrary initial states into a novel fluctuating bunching state, where all bosons occupy one time-dependent mode. We propose a concept of the noisy spectral gap, a generalization of the spectral gap in noiseless systems, and demonstrate that the exponentially fast absorption to the fluctuating bunching state takes place asymptotically. The fluctuating bunching state is unique to noisy nonunitary dynamics, with no counterpart in any unitary dynamics and nonunitary dynamics described by a time-independent generator. We also argue that the times of relaxation to the fluctuating bunching state obey a universal power law as functions of the noise parameter in generic noisy nonunitary dynamics.
17 pages, 9 figures
References in corpus (20)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Quantum computational advantage using photons
- Photonic Boson Sampling in a Tunable Circuit
- Equilibrium states of generic quantum systems subject to periodic driving
- Dynamical phase transition in correlated fermionic lattice systems
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Eigenstate thermalization within isolated spin-chain systems
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Scrambling in Random Unitary Circuits: Exact Results
- Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
- What can quantum optics say about computational complexity theory?
- Localization properties in disordered quantum many-body dynamics under continuous measurement
- Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
- Solvable non-Hermitian skin effect in many-body unitary dynamics
- Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
- Phantom relaxation rate of the average purity evolution in random circuits due to Jordan non-Hermitian skin effect and magic sums
- Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics