Article
Physics, Multidisciplinary
Yijian Zou, Karthik Siva, Tomohiro Soejima, Roger S. K. Mong, Michael P. Zaletel
Summary: This study introduces two related non-negative measures of tripartite entanglement and shows that states with nonzero measures have nontrivial entanglement. Additionally, it demonstrates that these entanglement measures in one dimension depend only on the emergent low-energy theory. For a gapped system, it argues that entanglement measures either both nonzero or both zero, depending on the system's ground state. Furthermore, a numerical algorithm is developed for computing entanglement measures in critical systems.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
G. Salerno, T. Ozawa, P. Torma
Summary: This study investigates the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. The researchers find that the Drude weight is determined by the sum of the kinetic energy and a term proportional to the many-body quantum metric. Importantly, the many-body quantum metric sets the upper bound for the Drude weight. The results are validated using exact diagonalization on the Creutz ladder model. This work sheds light on the significance of many-body quantum geometry in one-dimensional interacting bosonic systems.
Article
Materials Science, Multidisciplinary
Bo Xiong, Fiona Burnell
Summary: We study the impact of Haldane exclusion statistics on the energy relaxation processes in one-dimensional systems and find that the relaxation dynamics is generally slower compared to spinless fermions. Our findings are applicable to any system with the associated pattern of interlevel occupancy constraints in Fock space.
Article
Optics
Xuan Bu, Liang-Jun Zhai, Shuai Yin
Summary: In this work, the driven dynamics of one-dimensional localization transitions are explored. By changing the strength of disorder potential, the evolution of localization length and inverse participation ratio with driving rate is calculated in a disordered Aubry-Andre (AA) model. The findings show that the driven dynamics can be described by the Kibble-Zurek scaling and the dependence on both disorder and quasiperiodic potential is investigated. This study extends our understanding of localization transitions and generalizes the application of the Kibble-Zurek scaling.
Article
Physics, Multidisciplinary
Milosz Panfil, Sarang Gopalakrishnan, Robert M. Konik
Summary: Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains, where weak interchain couplings play a crucial role in thermalizing the system. We developed a Boltzmann-equation formalism involving a collision integral that is asymptotically exact for any interacting integrable system, and applied it to study relaxation in coupled Bose gases in the Newton's cradle setup. We found that relaxation involves a broad spectrum of timescales and the Markov process governing relaxation at late times is gapless, leading to nonexponential approach to equilibrium even for spatially uniform perturbations.
PHYSICAL REVIEW LETTERS
(2023)
Article
Multidisciplinary Sciences
Stefan Birnkammer, Alvise Bastianello, Michael Knap
Summary: This study investigates the thermalization dynamics after a quantum quench in confined systems and finds that it exhibits multiple stages. Taking the confined Ising spin chain as an example, bound states resembling mesons are formed. The system first reaches a prethermal state related to the number of conserved mesons, and then achieves true thermal equilibrium at much later times.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Multidisciplinary
Jun Hui See Toh, Katherine C. McCormick, Xinxin Tang, Ying Su, Xi-Wang Luo, Chuanwei Zhang, Subhadeep Gupta
Summary: In this study, the evolution of dynamically localized states in an interacting one-dimensional ultracold gas periodically kicked by a pulsed optical lattice was experimentally studied. The interaction was found to lead to the emergence of dynamical delocalization and many-body quantum chaos.
Article
Physics, Multidisciplinary
Hsin-Yuan Huang, Yu Tong, Di Fang, Yuan Su
Summary: Learning a many-body Hamiltonian from its dynamics is a fundamental problem in physics. In this Letter, we propose the first algorithm to achieve the Heisenberg limit for learning an interacting N-qubit local Hamiltonian. The proposed algorithm can efficiently estimate any parameter in the N-qubit Hamiltonian to epsilon error with high probability after a total evolution time of O(epsilon-1). It decouples the unknown N-qubit Hamiltonian into noninteracting patches and uses a quantum-enhanced divide-and-conquer approach.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Condensed Matter
Alexandre M. Souza, Roberto S. Sarthour, Ivan S. Oliveira
Summary: Entanglement has been an area of great interest since the early years of quantum mechanics. In recognition of their efforts in verifying the properties of entangled photons, the Nobel Prize in Physics for 2022 was awarded to Alain Aspect, John F. Clauser, and Anton Zeilinger, who are leading pioneers in this field. However, entanglement is not limited to photons and can occur among hundreds, millions, or even more particles in condensed matter systems. Quantum entanglement leads to strong non-classical correlations among particles, playing a crucial role in various properties of matter such as superconductivity and different forms of magnetic order that arise from highly correlated ground states in many-body systems.
PHYSICA B-CONDENSED MATTER
(2023)
Article
Materials Science, Multidisciplinary
Adam Nahum, Sthitadhi Roy, Sagar Vijay, Tianci Zhou
Summary: We study the real-time correlators of local operators in chaotic quantum many-body systems. These correlators exhibit universal structure at late times, determined by the geometry of the dominant operator-space Feynman trajectories. The decay of local correlations in the absence of conservation laws is described by rate functions associated with spacetime structures. In 1+1D, the operator histories can exhibit a phase transition, leading to singular behavior in the rate function. In higher-dimensional systems, thin trajectories always dominate. We also discuss the deducibility of butterfly velocity from time-ordered two-point functions and the computation of correlators in random circuits.
Article
Physics, Multidisciplinary
Harold Ollivier
Summary: We investigate the emergence of objectivity for quantum many-body systems in the absence of environmental interference. We extend the findings of Reidel (2017) to the case where the system is in a mixed state, measurements are performed using POVMs, and the measurement outcomes are imperfect. By introducing a new condition on states and measurements, we are able to achieve complete classicality for any number of observers. Furthermore, we demonstrate that the evolution of quantum many-body systems is expected to yield states satisfying this condition when the corresponding measurement outcomes are redundant.
Article
Physics, Multidisciplinary
Ahana Chakraborty, Rajdeep Sensarma
Summary: This study introduces a new field theoretic method for calculating Renyi entropy of interacting bosons in subsystems without using replica methods. The method can be applied to dynamics of open and closed quantum systems, and can determine the relationship between the initial state and final density matrix to predict the behavior of entropy over time. The approach also shows that the entropy in non-Markovian dynamics approaches a steady-state value with exponents determined by nonanalyticities of the system's environment.
PHYSICAL REVIEW LETTERS
(2021)
Article
Computer Science, Interdisciplinary Applications
Justin A. Reyes, Dan C. Marinescu, Eduardo R. Mucciolo
Summary: This paper explores the exact computation of tensor network contractions on two-dimensional geometries and presents a heuristic improvement to reduce computing time, memory usage, and communication time. The results demonstrate that cloud computing is a viable alternative to supercomputers for scientific applications of this nature.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Multidisciplinary Sciences
Yu-Song Cao, Yanxia Liu, Rong Zhang
Summary: This paper explores the validity of entropy, heat, and information concepts in quantum field theory. It studies the interaction between a Dirac field and an Unruh-DeWitt detector and finds that the field always absorbs heat, while the detector's entropy depends on its motion status. Landauer's principle is verified in two considered cases, and it is shown that the distinguishability of fermions and anti-fermions becomes important when the initial state of the Dirac field is thermal.
Article
Optics
Igor Ermakov, Boris Fine
Summary: Revivals of initial nonequilibrium states are a key focus in the theory of dynamic thermalization in many-body quantum systems. This study demonstrates how to construct a quantum state in a nonintegrable lattice of interacting spin 1/2 particles, leading to maximal initial polarization and almost complete recovery at a predetermined point in time. Experimental observation of these revivals can be used to benchmark quantum simulators with just one local observable measurement, and potentially for delayed disclosure of a secret.
Article
Physics, Multidisciplinary
E. J. K. P. Nandani, Xi-Wen Guan
Article
Physics, Particles & Fields
Song Cheng, Yuzhu Jiang, Yi-Cong Yu, Murray T. Batchelor, Xi-Wen Guan
Article
Physics, Multidisciplinary
Wen-Bin He, Xi-Wen Guan
CHINESE PHYSICS LETTERS
(2018)
Article
Mechanics
Rafael Nepomechie, Xi-Wen Guan
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2018)
Article
Mechanics
Zi-Zhong Liu, Robert A. Henry, Murray T. Batchelor, Huan-Qiang Zhou
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Physics, Multidisciplinary
Remy Adderton, Murray T. Batchelor, Paul Wedrich
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
Article
Physics, Multidisciplinary
Vladimir V. Mangazeev, Murray T. Batchelor, Vladimir V. Bazhanov
Summary: The asymmetric quantum Rabi model exhibits level crossings in the eigenspectrum for specific values of the bias parameter, which are expected to be associated with hidden symmetry of the model. The origin of this hidden symmetry is established by finding operators that commute with the AQRM Hamiltonian at these special values, providing a construction for studying similar level crossings in other related light-matter interaction models.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Xilin Lu, Zi-Min Li, Vladimir V. Mangazeev, Murray T. Batchelor
Summary: The hidden Z(2) symmetry of the asymmetric quantum Rabi model (AQRM) has been revealed, and a general form of the symmetry operators for AQRM-related models has been proposed. Applying this ansatz, the symmetry operators for three models have been obtained.
Article
Physics, Multidisciplinary
Xilin Lu, Zi-Min Li, Vladimir V. Mangazeev, Murray T. Batchelor
Summary: This study investigates the hidden Z(2) symmetry of the asymmetric quantum Rabi model (AQRM) and its generalization at specific biases, demonstrating that the symmetry operators commuting with the Hamiltonian generate a Z(2) symmetry.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Zi-Min Li, Devid Ferri, David Tilbrook, Murray T. Batchelor
Summary: The asymmetric quantum Rabi model (AQRM) describes the interaction between a quantum harmonic oscillator and a biased qubit, leading to a rich energy landscape of conical intersections (CIs) and interesting topological properties. Current approximations fail to reproduce these CIs correctly, but a generalized adiabatic approximation (GAA) is proposed to overcome these limitations and provide substantial improvement.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Editorial Material
Physics, Multidisciplinary
Daniel Braak, Murray T. Batchelor, Qing-Hu Chen
Summary: We discuss the elementary errors in Zhang's claimed exact solution of the quantum Rabi model in his paper published in New Journal of Physics in 2021. It is found that the erroneous solution is nothing more than the combined solution of the simplified Jaynes-Cummings and anti-Jaynes-Cummings models obtained by neglecting terms in the model Hamiltonian.
NEW JOURNAL OF PHYSICS
(2022)
Article
Optics
Zi-Min Li, Murray T. Batchelor
Summary: The research focused on the interaction between a qubit and a quantum harmonic oscillator in the quantum Rabi model, proposing a generalized adiabatic approximation method that correctly predicts energy level crossings and approximates the regular spectrum in a larger parameter range.
Article
Optics
Zi-Min Li, Murray T. Batchelor
Summary: The asymmetric quantum Rabi model exhibits a hidden symmetry, which is not limited to AQRM but also exists in other related light-matter interaction models under certain conditions, showing a strong connection to selective tunneling when investigating tunneling dynamics in the displaced oscillator basis.
Article
Optics
Zi-Min Li, Devid Ferri, Murray T. Batchelor
Summary: A variational wave function model has been proposed to describe the ground state of the asymmetric quantum Rabi model, which shows significant improvement over existing approximations in various parameter regimes, especially with arbitrary bias.
Article
Materials Science, Multidisciplinary
Xi-Hao Chen, Ian McCulloch, Murray T. Batchelor, Huan-Qiang Zhou
