Article
Physics, Particles & Fields
Lucia Cordova, Stefano Negro, Fidel I. Schaposnik Massolo
Summary: In this paper, we analyze the Thermodynamic Bethe Ansatz (TBA) for various integrable S-matrices in the context of generalized T(T)bar deformations, with a focus on the sinh-Gordon model and its elliptic deformation. We confirm that the determining factor for a turning point in the TBA is the difference between the number of bound states and resonances in the theory. By implementing a numerical method, we are able to follow the solutions to the TBA equations to the ultraviolet regime and find that the effective central charge tends to zero as the number of resonances approaches infinity. Additionally, we uncover a new family of UV complete integrable theories defined by the bosonic counterparts of the S-matrices.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
L. V. Bork, R. M. Iakhibbaev, N. B. Muzhichkov, E. S. Sozinov
Summary: In this study, properties of four-point colour ordered scattering amplitudes in D = 6 fishnet CFT were investigated, revealing a simple relation to their D = 4 counterparts previously studied in literature. This relation allowed for a closed expression of the amplitudes to be obtained and their behavior at weak and strong coupling to be explored. Additionally, a generating function for on-shell D = 6 Box ladder diagrams with l rungs was derived as a byproduct of this investigation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Omar Shahpo, Edoardo Vescovi
Summary: This paper investigates scalar local operators in the conformal fishnet theory and generalizes a field-theory approach to expand their correlation functions. The approach is applied to the bi-scalar reduction of the model. The Feynman-graph structure of three- and four-point correlators with single-trace operators is analyzed, showing the topology of globe and spiral graphs.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Katsushi Ito, Takayasu Kondo, Kohei Kuroda, Hongfei Shu
Summary: In this study, quantum corrections to the WKB periods of the (r + 1)-th order ordinary differential equation obtained through the conformal limit of the linear problem associated with the A(r)((1)) affine Toda field equation are computed using the Picard-Fuchs operators. The ODE/IM correspondence establishes a relationship between the Wronskians of the solutions and the Y-functions satisfying the thermodynamic Bethe ansatz (TBA) equation related to the Lie algebra A(r). A proposed formula demonstrates the equivalence between the logarithm of the Y-function and the WKB period for the quadratic potential, validated through numerical solutions of the TBA equation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Simon Caron-Huot, Joshua Sandor
Summary: The note extends Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, even away from the Regge limit. This representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel Regge block. The formula is tested in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Anatoly Dymarsky, Alfred Shapere
Summary: The study explores the relationship between quantum error-correcting codes and Euclidean lattices, showing that stabilizer codes are related to Lorentzian lattices and non-chiral CFTs. By analyzing the properties of code CFTs with small central charge, the study reveals interesting examples and constructs modular invariant functions satisfying basic properties of CFT partition function. The paper also considers the holographic interpretation of the ensemble average over all code theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Bjorn K. Berntson, Rob Klabbers, Edwin Langmann
Summary: We present and solve a soliton equation called the non-chiral intermediate Heisenberg ferromagnet equation. This equation describes the time evolution of two coupled spin densities propagating on the real line and is related to the A-type hyperbolic spin Calogero-Moser system.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Stephen Ebert, Hao-Yu Sun, Zhengdi Sun
Summary: This study focuses on the calculation of S-multiplets for two-dimensional Euclidean N = (0, 2) and N = (2, 2) superconformal field theories under the T (T) over bar deformation in perturbation theory. The results indicate that certain indices are unaffected by the deformation, while the thermodynamic Bethe ansatz is useful for studying ground state energies.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
E. Akhmedov, H. Epstein, U. Moschella
Summary: We discuss the bosonization of fermions in two spacetime dimensions, and present a new construction method for the case where left and right moving particles can coexist at two different temperatures in a steady state. Our construction relies on translation invariant infrared states and corresponding field operators, which are naturally related to the infrared behavior of correlation functions. We provide two applications: a simplified derivation of a formula by Bernard and Doyon in the free relativistic case, and a complete operator solution for the massless Thirring model in the steady state with distinct temperatures for left and right movers.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Davide Gaiotto, Ji Hoon Lee, Jingxiang Wu
Summary: The paper discusses the integrability and wall-crossing properties of Kondo problems, presenting several examples inspired by constructions in four-dimensional Chern-Simons theory and affine Gaudin models.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Luca Capizzi, Cecilia De Fazio, Michele Mazzoni, Lucia Santamaria-Sanz, Olalla A. Castro-Alvaredo
Summary: In this paper, we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy. We showed that the ratio of Fourier-transforms of the symmetry resolved entanglement entropies takes a simple and universal form for these states. We also extended our results to excited states of interacting theories and developed a higher dimensional generalisation of the branch point twist field picture.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Joan Elias Miro, James Ingoldby
Summary: Hamiltonian Truncation is a numerical approach for calculating observables non-perturbatively in Quantum Field Theory. While it can regulate UV divergences, using HT instead of a local regulator for certain Delta values may lead to additional UV divergences, indicating a breakdown of locality. This conclusion is based on the analysis of conformal perturbation theory up to fourth order.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Davide Gaiotto, Ji Hoon Lee, Benoit Vicedo, Jingxiang Wu
Summary: This article describes the relation between integrable Kondo problems in products of chiral SU(2) WZW models and affine SU(2) Gaudin models, and proposes a full ODE/IM solution of the spectral problem for these models.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sachin Jain, Renjan Rajan John
Summary: This paper investigates the relation between the parity-odd and parity-even parts of correlation functions in theories with conserved or weakly broken higher spin symmetries, as well as their connection to the parity-even part computed from free theories. The well-known link between CFT correlation functions and de-Sitter amplitudes in one higher dimension implies a connection between parity-even and parity-odd amplitudes calculated using non-minimal interactions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
George Jorjadze, Stefan Theisen
Summary: The S-matrix for each chiral sector of Liouville theory on a cylinder is computed using the loop expansion of correlation functions from a one-dimensional field theory with a non-local kinetic energy and an exponential potential. This action is derived from the Legendre transform of the generating function of semiclassical scattering amplitudes, showing its relevance for the quantum scattering process. Explicit loop diagrams computed from this action are compared with other methods of computing the S-matrix to further demonstrate its significance in quantum scattering processes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Jordan Cotler, Frank Wilczek, Victoria Borish
Summary: The study proposes a method for performing intensity interference of photons with different wavelengths. By processing particles through entanglement and projection, distinguishable particles can be made to reach the same final state at the detection apparatus, allowing access to new observables probing subtle frequency correlations and entanglement. Additionally, the proposal supports enhanced resolution of sources with different spectral character and suggests potential applications.
Article
Physics, Particles & Fields
Changha Choi, Mark Mezei, Gabor Sarosi
Summary: Pole skipping is a recently discovered subtle effect in the thermal energy density, determined by the stress tensor contribution to many-body chaos. In non-maximally chaotic theories, the true butterfly velocity is uB, and there exists a universal bound u(B) <= uB.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jordan Cotler, Kristan Jensen
Summary: In this study, we computed the path integral of three-dimensional gravity on spaces with a torus times an interval topology, revealing spectral correlations between BTZ black hole microstates near threshold and the spectral form factor at fixed momentum. Our findings indicate that the low-energy limit of these correlations aligns precisely with a double-scaled random matrix ensemble with Virasoro symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Changha Choi, Mark Mezei, Gabor Sarosi
Summary: Motivated by understanding quantum systems away from maximal chaos, the note derives a simple closed form expression for the fermion four point function of the large q SYK model valid at arbitrary temperatures and to leading order in 1/N. The result captures both large temperature, weakly coupled regime, and low temperature, nearly conformal, maximally chaotic regime. The derivation involves Sommerfeld-Watson resummation of an infinite series, recasting the four point function as a sum of three Regge poles, with the location determining the Lyapunov exponent that interpolates between zero and the maximal value as the temperature decreases.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Zohar Komargodski, Mark Mezei, Sridip Pal, Avia Raviv-Moshe
Summary: The paper discusses the constraints of spontaneously broken boost and dilatation symmetries in heavy states in Conformal Field Theories (CFTs), pointing out the existence of new low-lying primaries required by broken boost symmetries, and demonstrating these ideas in various states.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Multidisciplinary Sciences
Dorit Aharonov, Jordan Cotler, Xiao-Liang Qi
Summary: In this study, researchers introduced the framework of quantum algorithmic measurements (QUALMs) to investigate two important experimental problems in quantum physics. They found that if experimental samples can be used coherently in both space and time, a provable exponential speedup can be achieved. The research suggests that quantum computers may provide an exponential advantage in resource savings for quantum experiments.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Particles & Fields
Gabriel Cuomo, Zohar Komargodski, Mark Mezei
Summary: In this study, we investigate the critical O(N) model under the influence of a localized external magnetic field. This model has the potential to be realized in quantum simulators and in certain liquid mixtures. We find that the external field triggers a defect Renormalization Group (RG) flow, resulting in a stable nontrivial defect Conformal Field Theory (DCFT) with g < 1 at long distances, in accordance with the g-theorem. Using the epsilon expansion and the large N limit, we make several predictions for the corresponding DCFT data. The analysis of the large N limit involves a new saddle point and recent advancements in AdS loop diagrams enable the study of fluctuations around it. Our results are consistent with Monte Carlo simulations and we propose several predictions that can be tested in the future.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Multidisciplinary Sciences
Hsin-Yuan Huang, Michael Broughton, Jordan Cotler, Sitan Chen, Jerry Li, Masoud Mohseni, Hartmut Neven, Ryan Babbush, Richard Kueng, John Preskill, Jarrod R. McClean
Summary: Quantum technology, particularly quantum machine learning, offers substantial advantages over conventional methods in terms of efficiency and effectiveness. By conducting experiments with quantum processors, we have demonstrated the exponential advantage of quantum machines in predicting physical properties, performing quantum principal component analysis, and learning about physical dynamics. The resources required for achieving this advantage are also relatively modest in some cases.
Article
Physics, Particles & Fields
Gabriel Cuomo, Zohar Komargodski, Mark Mezei, Avia Raviv-Moshe
Summary: This paper studies line defects with large quantum numbers in conformal field theories. It first considers spin impurities in a free scalar triplet and the Wilson-Fisher O(3) model and reveals a rich phase diagram. A new semiclassical approach is developed to obtain these results. For the Wilson-Fisher model, an alternative description is proposed to study large spin impurities. Additionally, the paper also investigates Wilson lines in large representations of N = 2 superconformal field theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Luca V. Iliesiu, Mark Mezei, Gabor Sarosi
Summary: Understanding the fate of semi-classical black hole solutions at very late times is an important open question in quantum gravity. In this paper, the authors provide a path integral definition of the volume of the black hole interior and study its evolution at arbitrarily late times. They find that, after a linear growth, the length of the interior saturates at a time and value that is exponentially large in the entropy of the black hole, which supports the complexity equals volume proposal.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Multidisciplinary Sciences
Joonhee Choi, Adam L. L. Shaw, Ivaylo S. S. Madjarov, Xin Xie, Ran Finkelstein, Jacob P. P. Covey, Jordan S. S. Cotler, Daniel K. K. Mark, Hsin-Yuan Huang, Anant Kale, Hannes Pichler, Fernando G. S. L. Brandao, Soonwon Choi, Manuel Endres
Summary: Producing random quantum states is increasingly important in modern quantum science, with applications in both theory and practice. Randomly distributed, pure quantum state ensembles play a key role in understanding complexity in quantum circuits and black holes, as well as benchmarking quantum devices in tests of quantum advantage. This study solves the problem of creating random ensembles by predicting and observing their emergence naturally under time-independent Hamiltonian dynamics, and develops an efficient benchmarking protocol and fidelity estimation scheme with broad applicability.
Article
Physics, Multidisciplinary
Ofer Aharony, Gabriel Cuomo, Zohar Komargodski, Mark Mezei, Avia Raviv-Moshe
Summary: We study the low-energy behavior of Wilson lines in conformal gauge theories and find that certain defect operators can become marginal, leading to interesting renormalization group flows and screening effects by charged fields. This screening phenomenon is universal in large enough representations of Wilson lines. We observe that fixed-point mergers are associated with the onset of the screening instability. By studying various applications, we show that the screening of Wilson lines can occur through dimensional transmutation or generation of large scales.
PHYSICAL REVIEW LETTERS
(2023)
Article
Astronomy & Astrophysics
Jordan Cotler, Annie Y. Wei
Summary: We develop the theory of quantum scars for quantum fields, showing that unstable periodic classical solutions imprint themselves in a precise manner on energy eigenfunctions. We discuss the breakdown of thermalization at certain energy scales and the potential connections with quantum many-body scars in Rydberg atom arrays.
Article
Quantum Science & Technology
Jordan S. Cotler, Daniel K. Mark, Hsin-Yuan Huang, Felipe Hernandez, Joonhee Choi, Adam L. Shaw, Manuel Endres, Soonwon Choi
Summary: Quantum chaos in many-body systems provides a strong connection between statistical and quantum physics, and has the ability to predict properties of complex quantum systems. This paper introduces a new perspective by showing that a single nonrandom quantum state can encode universal and highly random quantum state ensembles. These ensembles are characterized using the notion of quantum state k-designs and their universality is investigated using analytic and numerical techniques. The results offer a new approach for studying quantum chaos and have practical applications in quantum information science.
Article
Optics
Jordan Cotler, Nicholas Hunter-Jones, Daniel Ranard
Summary: In this study, we investigate the fluctuations of subsystem entropies in closed quantum many-body systems after thermalization. By combining analytics and numerics, we find that the statistics of entropy fluctuations in quantum systems are significantly different from the classical case. The probability of entropy fluctuations in a subregion is suppressed in the dimension of the Hilbert space of the complementary subregion shortly after thermalization. This suppressions becomes more stringent over time, ultimately depending on the exponential of the Hilbert space dimension. We also estimate the total number of rare fluctuations at large timescales, and find that the Boltzmann brain paradox is largely resolved in quantum many-body systems.