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We study a (1+1)-dimensional quantum circuit consisting of Haar-random unitary gates and projective measurements that conserve a total $U(1)$ charge and thus have $U(1)$ symmetry. In addition to a measurement-induced entanglement transition…

无序系统与神经网络 · 物理学 2023-01-31 Hisanori Oshima , Yohei Fuji

We analyze the quantum trajectory dynamics of free fermions subject to continuous monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive entanglement growth, reminiscent of a critical phase with an emergent…

统计力学 · 物理学 2021-07-06 Ori Alberton , Michael Buchhold , Sebastian Diehl

Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how…

Measurement-induced phase transitions (MIPTs) in monitored quantum dynamics are non-equilibrium phase transitions between quantum-chaotic (volume-law entangled) and entanglement-suppressed, area-law phases. We reveal how monitored dynamics…

统计力学 · 物理学 2025-08-18 Haoyu Guo , Matthew S. Foster , Chao-Ming Jian , Andreas W. W. Ludwig

The dynamics of monitored systems can exhibit a measurement-induced phase transition (MIPT) between entangling and disentangling phases, tuned by the measurement rate. When the dynamics obeys a continuous symmetry, the entangling phase…

量子物理 · 物理学 2025-04-09 Xiaozhou Feng , Nadezhda Fishchenko , Sarang Gopalakrishnan , Matteo Ippoliti

We study critical properties of the entanglement and charge-sharpening measurement-induced phase transitions in a non-unitary quantum circuit evolving with a U(1) conserved charge. Our numerical estimation of the critical properties of the…

无序系统与神经网络 · 物理学 2024-11-15 Ahana Chakraborty , Kun Chen , Aidan Zabalo , Justin H. Wilson , J. H. Pixley

Monitored quantum circuits exhibit entanglement transitions at certain measurement rates. Such a transition separates phases characterized by how much information an observer can learn from the measurement outcomes. We study SU(2)-symmetric…

We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. We find the signatures of the…

统计力学 · 物理学 2021-02-15 Yohei Fuji , Yuto Ashida

In this paper we continue to explore "hybrid" quantum circuit models in one-dimension with both unitary and measurement gates, focussing on the entanglement properties of wavefunction trajectories at long times, in the steady state. We…

统计力学 · 物理学 2023-08-23 Yaodong Li , Xiao Chen , Matthew P. A. Fisher

Scrambling of quantum information in unitary evolution can be hindered due to measurements and localization, which pin quantum mechanical wavefunctions in real space suppressing entanglement in the steady state. In monitored free-fermionic…

量子物理 · 物理学 2023-10-24 Marcin Szyniszewski , Oliver Lunt , Arijeet Pal

We consider measurement-induced phase transitions in monitored quantum circuits with a measurement rate that fluctuates in time, remaining spatially uniform at each time. The spatially correlated fluctuations in the measurement rate disrupt…

无序系统与神经网络 · 物理学 2026-02-24 Gal Shkolnik , Sarang Gopalakrishnan , David A. Huse , Snir Gazit , J. H. Pixley

Continuous monitoring of one-dimensional free fermionic systems can generate phenomena reminiscent of quantum criticality, such as logarithmic entanglement growth, algebraic correlations, and emergent conformal invariance, but in a…

量子物理 · 物理学 2026-05-12 Clemens Niederegger , Tatiana Vovk , Elias Starchl , Lukas M. Sieberer

We study entanglement dynamics in hybrid $\mathbb{Z}_2$-symmetric quantum automaton circuits subject to local composite measurements. We show that there exists an entanglement phase transition from a volume law phase to a critical phase by…

量子物理 · 物理学 2022-03-04 Yiqiu Han , Xiao Chen

We study a class of (1+1)D symmetric random quantum circuits with two competing types of measurements in addition to random unitary dynamics. The circuit exhibits a rich phase diagram involving robust symmetry-protected topological (SPT),…

量子物理 · 物理学 2021-11-03 Ali Lavasani , Yahya Alavirad , Maissam Barkeshli

We numerically investigate measurement-induced phase transitions in monitored free fermions through the spectral and eigenstate properties of the entanglement Hamiltonian. By analyzing entanglement scaling, we identify three non-trivial…

量子物理 · 物理学 2025-09-11 Karim Chahine , Michael Buchhold

We develop solvable models of large-$N$ hybrid quantum circuits on qubits and fermions with long-range power-law interactions and continuous local monitoring, which provide analytical access to the entanglement phase diagram and…

量子物理 · 物理学 2022-12-12 Subhayan Sahu , Shao-Kai Jian , Gregory Bentsen , Brian Swingle

Studies of entanglement in many-particle systems suggest that most quantum critical ground states have infinitely more entanglement than non-critical states. Standard algorithms for one-dimensional many-particle systems construct model…

强关联电子 · 物理学 2015-05-13 Frank Pollmann , Subroto Mukerjee , Ari Turner , Joel E. Moore

We identify an unconventional algebraic scaling phase in the quantum dynamics of free fermions with long range hopping, which are exposed to continuous local density measurements. The unconventional phase is characterized by an algebraic…

统计力学 · 物理学 2022-01-19 Thomas Müller , Sebastian Diehl , Michael Buchhold

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with…

强关联电子 · 物理学 2009-11-10 Minchul Lee , Eun-Ah Kim , Jong Soo Lim , M. Y. Choi

Effects of charge-density fluctuations on a phase behavior of the restricted primitive model (RPM) are studied within a field-theoretic formalism. We focus on a $\lambda$-line of continuous transitions between charge-ordered and…

统计力学 · 物理学 2009-11-11 A. Ciach , O. Patsahan
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