Exploring Quantum Phase Transitions Beyond Landau Theory on a Quantum Processor

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   Probing Deconfined Quantum Criticality Point on a Digital Quantum Computer

   M. Giri, P. Sengupta · 2026 · Not summarized yet

   Abstract

   A deconfined quantum critical point (DQCP) is a continuous transition between ordered phases with unrelated broken symmetries, beyond the Landau-Ginzburg-Wilson paradigm. In one dimension, such a transition between a $z$-polarized ferromagnet (zFM) and a valence-bond solid (VBS) is well established numerically in a frustrated spin-$1/2$ chain. Here we ask whether a superconducting quantum processor can resolve this transition and its signatures despite finite-size effects and device noise. The ground states are prepared by ancilla-projected quantum imaginary-time evolution (QITE), whose exact target states are compressed by tensor-network optimization into shallow depth quantum circuits. The…

2. Very close Cited by this paper Not relevant

   Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm

   T. Senthil, L. Balents, S. Sachdev et al. · 2003 · Physical Review B · Not summarized yet

   Abstract

   We present the critical theory of a number of zero-temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the transition of the $S=1∕2$ square lattice antiferromagnet between the N\'eel state (which breaks spin rotation invariance) and the paramagnetic valence bond solid (which preserves spin rotation invariance but breaks lattice symmetries). We show that these two states are separated by a second-order quantum phase transition. This conflicts with Landau-Ginzburg-Wilson theory, which predicts that such states with distinct broken symmetries are generically separated either by a first-order transition, or by a…

3. Very close Cited by this paper Not relevant

   Deconfined quantum critical point in one dimension

   Brenden Roberts, Sheng-Han Jiang, O. Motrunich · 2019 · Physical review B · Not summarized yet

   Abstract

   We perform a numerical study of a spin-1/2 model with $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensional deconfined quantum critical points (DQCP). Specifically, we investigate the quantum phase transition between Ising ferromagnetic and valence bond solid (VBS) symmetry-breaking phases. Working directly in the thermodynamic limit using uniform matrix product states, we find evidence for a direct continuous phase transition that lies outside of the Landau-Ginzburg-Wilson paradigm. In our model, the continuous transition is found everywhere on the phase boundary. We find that the magnetic and VBS correlat…

4. Very close Cited by this paper Not relevant

   Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points

   Sheng-Han Jiang, O. Motrunich · 2018 · Physical review B · Not summarized yet

   Abstract

   We study a one-dimensional (1D) system that shows many analogies to proposed two-dimensional (2D) deconfined quantum critical points (DQCP). Our system is a translationally invariant spin-1/2 chain with onsite Z_2×Z_2 symmetry and time-reversal symmetry. It undergoes a direct continuous transition from a ferromagnet (FM), where one of the Z2 symmetries and the time reversal are broken, to a valence bond solid (VBS), where all onsite symmetries are restored while the translation symmetry is broken. The other Z_2 symmetry remains unbroken throughout, but its presence is crucial for both the direct transition (via specific Berry phase effect on topological defects, also related to a Lieb-Schult…

5. Very close Cited by this paper Not relevant

   Deconfined quantum criticality in the long-range, anisotropic Heisenberg chain

   Anton Romen, Stefan Birnkammer, M. Knap · 2023 · SciPost Physics Core · Not summarized yet

   Abstract

   Deconfined quantum criticality describes continuous phase transitions that are not captured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum critical points in the long-range, anisotropic Heisenberg chain. With matrix product state simulations, we show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We extract the critical exponents of the transition and connect them to an effective field theory obtained from bosonization techniques. We show that beyond stabilizing the valance bond order, the long-range interactions are irrelevant and the transition is well described by a double frequency sine-Gordon model. We pr…

6. Very close Cited by this paper Not relevant

   Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited

   C. Mudry, A. Furusaki, T. Morimoto et al. · 2019 · Physical review B · Not summarized yet

   Abstract

   The phase diagram of the quantum spin-$\frac{1}{2}$ antiferromagnetic ${J}_{1}^{\phantom{\rule{0.16em}{0ex}}}\text{\ensuremath{-}}{J}_{2}^{\phantom{\rule{0.16em}{0ex}}}$ XXZ chain was obtained by Haldane using bosonization techniques [Haldane, Phys. Rev. B 25, 4925 (1982); Phys. Rev. B 26, 5257 (1982)]. It supports three distinct phases for $0\ensuremath{\le}{J}_{2}^{\phantom{\rule{0.16em}{0ex}}}/{J}_{1}^{\phantom{\rule{0.16em}{0ex}}}l\frac{1}{2}$, i.e., a gapless algebraic spin-liquid phase, a gapped long-range ordered Neel phase, and a gapped long-range ordered dimer phase. Even though the Neel and dimer phases are not related hierarchically by a pattern of symmetry breaking, it was shown …

7. Very close Not relevant

   Emergent criticality in fully frustrated quantum magnets

   Yuchen Fan, Ning Xi, Changle Liu et al. · 2023 · Strongly Correlated Electrons · AI summary available

   Abstract

   Phase transitions in condensed matter are often linked to exotic emergent properties. We study the fully frustrated bilayer Heisenberg antiferromagnet to demonstrate that an applied magnetic field creates a novel emergent criticality. The quantum phase diagram contains four states, the DS (singlets on every interlayer dimer bond), DTAF (all triplets with antiferromagnetic order), TC (a singlet-triplet checkerboard) and FM (saturated ferromagnet). The thermal phase diagram is dominated by a wall of discontinuities extending from the zero-field DTAF-DS transition to a quantum critical endpoint where the field drives the DTAF and TC into the FM. This first-order wall is terminated at finite tem…

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   Quantum criticality using a superconducting quantum processor

   M. Dupont, J. Moore · 2021 · Physical review B · Not summarized yet

   Abstract

   Quantum criticality emerges from the collective behavior of many interacting quantum particles, often at the transition between different phases of matter. It is one of the cornerstones of condensed matter physics, which we access on noisy intermediate-scale (NISQ) quantum devices by leveraging a dynamically driven phenomenon. We probe the critical properties of the one-dimensional quantum Ising model on a programmable superconducting quantum chip via a Kibble-Zurek process, obtain scaling laws, and estimate critical exponents despite inherent sources of errors on the hardware. In addition, we investigate how the improvement of NISQ computers (more qubits, less noise) will consolidate the com…

Prior work it builds on

1. Close Not relevant

   Deconfined Quantum Criticality on a Triangular Rydberg Array.

   Lisa Bombieri, Torsten V. Zache, Gabriele Calliari et al. · 2025 · Physical Review Letters · Not summarized yet

   Abstract

   Fluctuations can drive continuous phase transitions between two distinct ordered phases-so-called deconfined quantum critical points (DQCPs)-which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions over the past decades, experimental evidence of DQCPs remains elusive. We show that a DQCP can be explored in a system of Rydberg atoms arranged on a triangular lattice and coupled through van der Waals interactions. Specifically, we investigate the nature of the phase transition between two ordered phases at 1/3 and 2/3 Rydberg excitation density, which were recently probed experimentally in [Scholl et al., Quantum simulation of 2D antiferromagnets with hundre…

2. Close Not relevant

   Deconfined Quantum Critical Points

   T. Senthil, A. Vishwanath, L. Balents et al. · 2003 · Science · Not summarized yet

   Abstract

   The theory of second-order phase transitions is one of the foundations of modern statistical mechanics and condensed-matter theory. A central concept is the observable order parameter, whose nonzero average value characterizes one or more phases. At large distances and long times, fluctuations of the order parameter(s) are described by a continuum field theory, and these dominate the physics near such phase transitions. We show that near second-order quantum phase transitions, subtle quantum interference effects can invalidate this paradigm, and we present a theory of quantum critical points in a variety of experimentally relevant two-dimensional antiferromagnets. The critical points separat…

3. Close Not relevant

   Deconfined quantum critical points: a review

   T. Senthil · 2023 · Not summarized yet

   Abstract

   Continuous phase transitions in equilibrium statistical mechanics were successfully described 50 years ago with the development of the renormalization group framework. This framework was initially developed in the context of phase transitions whose universal properties are captured by the long wavelength (and long time) fluctuations of a Landau order parameter field. Subsequent developments include a straightforward generalization to a class of $T = 0$ phase transitions driven by quantum fluctuations. In the last 2 decades it has become clear that there is a vast landscape of quantum phase transitions where the physics is not always usefully (or sometimes cannot be) formulated in terms of fl…

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   Crossing a topological phase transition with a quantum computer

   Adam Smith, B. Jobst, A. G. Green et al. · 2019 · Physical Review Research · Not summarized yet

   Abstract

   Quantum computers promise to perform computations beyond the reach of modern computers with profound implications for scientific research. Due to remarkable technological advances, small scale devices are now becoming available for use. One of the most apparent applications for such a device is the study of complex many-body quantum systems, where classical computers are unable to deal with the generic exponential complexity of quantum states. Even zero-temperature equilibrium phases of matter and the transitions between them have yet to be fully classified, with topologically protected phases presenting major difficulties. We construct and measure a continuously parametrized family of state…

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   Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models

   A. Nahum, J. Chalker, P. Serna et al. · 2015 · Physical Review X · Not summarized yet

   Abstract

   Numerical studies of the N\'eel to valence-bond solid phase transition in 2D quantum antiferromagnets give strong evidence for the remarkable scenario of deconfined criticality, but display strong violations of finite-size scaling that are not yet understood. We show how to realise the universal physics of the Neel-VBS transition in a 3D classical loop model (this includes the interference effect that suppresses N\'eel hedgehogs). We use this model to simulate unprecedentedly large systems (of size $L\leq 512$). Our results are compatible with a direct continuous transition at which both order parameters are critical, and we do not see conventional signs of first-order behaviour. However, we…