Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
arXiv:2507.11957 · doi:10.1103/51bk-vrp4
Abstract
Spin chains with quenched disorder exhibit rich critical behavior, often captured by real-space renormalization group (RSRG) techniques. However, the physics of such systems in the presence of random measurements (i.e., non-Hermitian dephasing) remains largely unexplored. The interplay between measurements and unitary dynamics gives rise to novel phases and phase transitions in monitored quantum systems. In this work, we investigate the disordered XX spin chain subject to stochastic local measurements in the and bases. By mapping the monitored chain to a non-Hermitian spin ladder with complex couplings, we propose an RSRG-for-excited-states (RSRG-X) approach for this open-system setting. Our analysis reveals a new class of strongly disordered fixed points that emerge due to non-unitarity, broadening the landscape of critical phenomena accessible via RSRG.
References in corpus (53)
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Riemannian symmetric superspaces and their origin in random matrix theory
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
- Theory of the many-body localization transition in one dimensional systems
- Strong disorder RG approach of random systems
- Many-body localization in one dimension as a dynamical renormalization group fixed point
- Entanglement entropy of random quantum critical points in one dimension
- Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Infinite-randomness quantum Ising critical fixed points
- High-fidelity gates with mid-circuit erasure conversion in a metastable neutral atom qubit
- The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
- Dynamical quantum phase transitions in random spin chains
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
- Quantum Hamiltonian Complexity
- Dissipative spin chain as a non-Hermitian Kitaev ladder
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Theory of free fermions under random projective measurements
- Renormalization group study of the two-dimensional random transverse-field Ising model
- Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
- Dephasing-induced diffusive transport in anisotropic Heisenberg model
- Strong Disorder RG approach - a short review of recent developments
- Effects of dissipation on a quantum critical point with disorder
- Infinite-randomness quantum critical points induced by dissipation
- The Low-Energy Fixed Points of Random Quantum Spin Chains
- Theory of smeared quantum phase transitions
- Heat transport in the spin chain: from ballistic to diffusive regimes and dephasing enhancement
- Transport in a disordered tight-binding chain with dephasing
- Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
- Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
- Measurement-induced phase transition for free fermions above one dimension
- Disordered monitored free fermions
- Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
- Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model
- Entanglement transitions and quantum bifurcations under continuous long-range monitoring
- Infinite-randomness criticality in monitored quantum dynamics with static disorder
- Dissipation effects in random transverse-field Ising chains
- Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
- Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath
- Strong-disorder renormalization for interacting non-Abelian anyon systems in two dimensions
- Strong-Disorder Renormalization Group for Periodically Driven Systems
- Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
- Thermodynamics of strongly disordered spin ladders
- Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
- Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the ground state via real space renormalization
- Measurement-induced Lévy flights of quantum information
- Long-lived oscillations of metastable states in neutral atom systems
- Random Ising chain in transverse and longitudinal fields: Strong disorder RG study
- Superspin Renormalization and Slow Relaxation in Random Spin Systems