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Conformal field theories (CFTs) feature prominently in high-energy physics, statistical mechanics, and condensed matter. For example, CFTs govern emergent universal properties of systems tuned to quantum phase transitions, including their…

Repeated local measurements of quantum many body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for various types of dynamics, yet most cases…

Disordered Systems and Neural Networks · Physics 2022-02-14 Aidan Zabalo , Michael J. Gullans , Justin H. Wilson , Romain Vasseur , Andreas W. W. Ludwig , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of…

High Energy Physics - Theory · Physics 2008-02-20 John Cardy

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain…

Statistical Mechanics · Physics 2013-02-05 Smain Balaska , Nahed Sihem Bounoua

The dynamics of a quantum-many body system subject to measurements is naturally described by an ensemble of quantum trajectories, which can feature measurement-induced phase transitions (MIPTs). This phenomenon cannot be revealed through…

The Ising model describes collective behaviors such as phase transitions and critical phenomena in various physical, biological, economical, and social systems. It is well-known that spontaneous phase transition at finite temperature does…

Statistical Mechanics · Physics 2024-03-28 Weiguo Yin

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…

Statistical Mechanics · Physics 2025-08-18 Haoyu Guo , Matthew S. Foster , Chao-Ming Jian , Andreas W. W. Ludwig

The transfer of quantum information between many-qubit states is a subject of fundamental importance in quantum science and technology. We consider entanglement swapping in critical quantum spin chains, where the entanglement between the…

Quantum Physics · Physics 2025-04-28 Masahiro Hoshino , Masaki Oshikawa , Yuto Ashida

Information-theoretic phase transitions, such as the measurement-induced phase transition (MIPT), characterize the robustness of quantum dynamics to local monitoring and are naturally formulated in terms of trajectories conditioned on…

The competition between quantum many-particle dynamics and continuous monitoring can lead to measurement-induced phase transitions (MIPTs). So far, MIPTs have been extensively explored in fermionic or spin systems. To examine the…

Quantum Physics · Physics 2025-06-17 Kazuki Yokomizo , Yuto Ashida

Quantum phase transitions out of a symmetry-protected topological (SPT) phase in (1+1) dimensions into an adjacent, topologically distinct SPT phase protected by the same symmetry or a trivial gapped phase, are typically described by a…

Strongly Correlated Electrons · Physics 2017-08-02 Gil Young Cho , Ken Shiozaki , Shinsei Ryu , Andreas W. W. Ludwig

The comprehension of quantum phase transitions (QPTs) is considered as a critical foothold in the field of many-body physics. Developing protocols to effectively identify and understand QPTs thus represents a key but challenging task for…

Quantum Physics · Physics 2025-04-03 Xiangbei Li , Yaoming Chu , Shaoliang Zhang , Jianming Cai

We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing space-time conformal covariance of entanglement entropies and…

Quantum Physics · Physics 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

Measurement-induced phase transitions (MIPTs) epitomize new intellectual pursuits inspired by the advent of quantum hardware and the emergence of discrete and programmable circuit dynamics. Nevertheless, experimentally observing this…

Quantum Physics · Physics 2025-08-25 Hyejin Kim , Abhishek Kumar , Yiqing Zhou , Yichen Xu , Romain Vasseur , Eun-Ah Kim

We explore some consequences of the crossing symmetry for defect conformal field theories, focusing on codimension one defects like flat boundaries or interfaces. We study surface transitions of the 3d Ising and other O(N) models through…

High Energy Physics - Theory · Physics 2021-11-29 F. Gliozzi , P. Liendo , M. Meineri , A. Rago

The interplay of unitary evolution and projective measurements is a modern interest in the study of many-body entanglement. On the one hand, the competition between these two processes leads to the recently discovered measurement-induced…

Quantum Physics · Physics 2025-02-05 Cole Kelson-Packer , Akimasa Miyake

Monitored many-body systems can exhibit a phase transition between entangling and disentangling dynamical phases by tuning the strength of measurements made on the system as it evolves. This phenomenon is called the measurement-induced…

Quantum Physics · Physics 2025-02-05 Xiaozhou Feng , Jeremy Côté , Stefanos Kourtis , Brian Skinner

We investigate the prospects of employing the linear cross-entropy to experimentally access measurement-induced phase transitions (MIPT) without requiring any postselection of quantum trajectories. For two random circuits that are identical…

Quantum Physics · Physics 2023-06-08 Yaodong Li , Yijian Zou , Paolo Glorioso , Ehud Altman , Matthew P. A. Fisher

We study the constraints of crossing symmetry and unitarity for conformal field theories in the presence of a boundary, with a focus on the Ising model in various dimensions. We show that an analytic approach to the bootstrap is feasible…

High Energy Physics - Theory · Physics 2015-06-11 Pedro Liendo , Leonardo Rastelli , Balt C. van Rees

Mean-field theory (MFT) is one of the main available tools for analytical calculations entailed in investigations regarding many-body systems. Recently, there have been an urge of interest in ameliorating this kind of method, mainly with…

Statistical Mechanics · Physics 2016-06-14 F. M. Zimmer , M. Schmidt , Jonas Maziero
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