Article
Optics
Maciej Lebek, Andrzej Syrwid, Piotr T. Grochowski, Kazimierz Rzazewski
Summary: We analyze the dynamics of one-dimensional quantum gases with strongly attractive contact interactions and find that attractive forces can effectively act as strongly repulsive ones. Our findings extend the theoretical results on the super-Tonks-Girardeau gas and have implications for the domain stability in a two-component Fermi gas. We also discuss the effects of finite-range interactions and analyze the universality of the presented results. Moreover, our conclusions support the existence of metastable quantum droplets in the regime of strongly attractive contact and attractive dipolar interactions.
Article
Materials Science, Multidisciplinary
Yuchi He, David Pekker, Roger S. K. Mong
Summary: In the investigation of the phase diagram of the one-dimensional repulsive Hubbard model with mass imbalance, it was found that a triplet paired phase and two additional phases (crystal phase and trion phase) can occur. These phases were characterized using the Tomonaga-Luttinger liquid theory.
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
Optics
Hui Hu, Jia Wang, Jing Zhou, Xia-Ji Liu
Summary: This paper investigates the zero-temperature quasiparticle properties of a mobile impurity in a strongly interacting Fermi superfluid. It shows that the repulsive polaron branch becomes less well defined due to the existence of a significant pairing gap Delta, while the attractive polaron branch becomes more robust at finite momentum.
Article
Optics
Ovidiu Patu
Summary: The study demonstrates that the momentum distribution of a gas released from a trap asymptotically approaches that of a noninteracting Fermi gas in the initial trap, a phenomenon known as dynamical fermionization. This behavior has been experimentally confirmed in certain cases. Additionally, removal of axial confinement in a strongly interacting Bose-Fermi mixture also leads to dynamical fermionization, with the momentum distribution of each component resembling its density profile at the initial time. The dynamics of both fermionic and bosonic momentum distributions exhibit characteristics similar to single component bosons under a sudden change in trap frequency.
Article
Optics
Liang Mao, Yajiang Hao, Lei Pan
Summary: In this paper, the non-Hermitian skin effect (NHSE) is extended from noninteracting systems to interacting many-body systems by studying an exactly solvable non-Hermitian model, the Lieb-Liniger Bose gas with imaginary vector potential. The NHSE is characterized quantitatively through solving the Bethe ansatz equations and calculating the model's density profiles and momentum distributions. It is found that the NHSE is enhanced for bound-state solutions on the attractive side, while it shows a nonmonotonic behavior for the scattering state. This work provides an example of NHSE in exactly solvable many-body systems and suggests its extension to other non-Hermitian many-body systems, particularly integrable models.
Article
Physics, Multidisciplinary
Giulia De Rosi, Riccardo Rota, Grigori E. Astrakharchik, Jordi Boronat
Summary: In this study, the effect of thermal fluctuations on correlations in a one-dimensional Bose gas with repulsive interactions is comprehensively investigated. The pair correlation function, static structure factor, and one-body density matrix are calculated using the exact ab-initio Path Integral Monte Carlo method for various interaction strengths and temperatures. A detailed comparison with different theoretical models is provided. The Monte Carlo results agree excellently with the tractable limits and serve as an important benchmark for future experiments in different platforms.
NEW JOURNAL OF PHYSICS
(2023)
Article
Physics, Multidisciplinary
Li Yang, Shah Saad Alam, Han Pu
Summary: This article reviews some work on strongly interacting 1D spinor quantum gas, discussing a generalized Bose-Fermi mapping and constructing an ansatz wavefunction for the strongly interacting system.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mathematics, Applied
Argha Debnath, Ayan Khan, Boris Malomed
Summary: This study investigates the static and dynamical properties of one-dimensional quantum droplets under the influence of local potentials in the form of narrow wells and barriers. The dynamics of the droplets are described by the one-dimensional Gross-Pitaevskii equation, including meanfield and beyond-mean-field terms. Stable solutions for localized states pinned to the well are found, and approximations for the well and the collision of the droplet with the barrier are developed. Simulations analyze the collisions of droplets with the wells and barriers, identifying outcomes such as fission and rebound effects.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Optics
Nikolay Yegovtsev, Pietro Massignan, Victor Gurarie
Summary: This paper examines strong boson-impurity interactions with finite range in a Bose gas. It shows that for attractive impurity-boson interactions, including the unitary point, static properties of a Bose polaron in a dilute Bose gas can be calculated using the scattering length and an additional parameter characterizing the range of the interactions.
Article
Optics
Tobias Ilg, Hans Peter Buechler
Summary: We study the behavior of the excitation spectrum across the quantum phase transition from a superfluid to a supersolid phase of a dipolar Bose gas in one dimension. Using an effective Hamiltonian that includes beyond-mean-field effects, we analyze the system based on Bogoliubov theory with multiple order parameters. Our results show that the supersolid phase exhibits a stable excitation spectrum with Goldstone modes and an amplitude mode in the low-energy regime, and the transition into the supersolid phase is driven by the roton instability in a parameter regime achievable for dysprosium atoms.
Article
Optics
Yabo Li, Dominik Schneble, Tzu-Chieh Wei
Summary: We investigate dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions and energies of two-particle eigenstates. Our study reveals the existence of four different continua and three doublon dispersions in the two-particle spectrum of a system with generic interactions. The presence of doublons and their energies depend on the coupling strength between two species of bosons and the interaction strengths. We provide details on the spectrum and properties of two-particle states, and analyze the difference in time evolution under different coupling strengths and the relation between the long-time behavior of the system and the doublon dispersion. These dynamics can be observed in cold atoms and potentially simulated by digital quantum computers.
Article
Physics, Multidisciplinary
Martin Bonkhoff, Kevin Jaegering, Sebastian Eggert, Axel Pelster, Michael Thorwart, Thore Posske
Summary: Research shows that anyons with arbitrary exchange phases exist on 1D lattices and can be derived from interacting bosons in continuum theories. This theory maintains the exchange phase periodicity similar to 2D anyons and predicts different velocities for left- and right-moving collective excitations.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Jing Yang, Adolfo del Campo
Summary: The exchange operator formalism is used to describe many-body integrable systems in terms of phase-space variables. We establish an equivalence between models described by this formalism and the infinite family of parent Hamiltonians describing quantum many-body models with Jastrow form ground states. This allows us to identify the invariants of motion and establish integrability for any model in the family.
PHYSICAL REVIEW LETTERS
(2022)
Article
Optics
Allan D. C. Tosta, Ernesto F. Galvao, Daniel J. Brod
Summary: This study focuses on the dynamics of bosonic and fermionic anyons defined on a one-dimensional lattice under the influence of Gaussian Hamiltonians. It explores the effects of anyonic exchange phase on their bunching behaviors and demonstrates the potential to generate cat states for quantum information processing. Additionally, it shows the possibility of building a deterministic, entangling two-qubit gate using the inherent Aharonov-Bohm effect exhibited by these particles, proving quantum computational universality in these systems.
Article
Physics, Applied
E. Bahnsen, S. E. Rasmussen, N. J. S. Loft, N. T. Zinner
Summary: As the application of quantum technology approaches, leveraging current quantum resources becomes crucial. Utilizing the diamond gate instead of standard gates has shown to be more efficient in compiling quantum algorithms. These gates can be decomposed into standard gates and have a wide range of applications in quantum machine learning.
PHYSICAL REVIEW APPLIED
(2022)
Article
Physics, Multidisciplinary
Daniel S. Grun, Karin Wittmann W., Leandro H. Ymai, Jon Links, Angela Foerster
Summary: The ability to prepare non-classical states reliably is crucial for the realization of quantum technology, and NOON states have emerged as a leading candidate for various applications. This paper demonstrates how to generate NOON states in a model of dipolar bosons and discusses the physical feasibility using ultracold dipolar atoms. The authors propose two protocols, one deterministic and the other probabilistic, for generating arbitrary NOON states in ultra-cold atom systems.
COMMUNICATIONS PHYSICS
(2022)
Article
Physics, Multidisciplinary
Kasper Poulsen, Alan C. Santos, Nikolaj T. Zinner
Summary: We propose a quantum Wheatstone bridge as a fully quantum analog to the classical version, which exploits quantum effects to enhance sensitivity to an unknown coupling. This can be used in fields such as sensing and metrology.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
D. S. Grlin, L. H. Ymai, K. W. Wittmann, A. P. Tonel, A. Foerster, J. Links
Summary: High sensitivity quantum interferometry requires a deep understanding of quantum correlations, which can be achieved through integrable models. By designing interferometric protocols, the quantum dynamics of the system can be described and its functionality and equivalence can be revealed.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Stig Elkjaer Rasmussen, Nikolaj Thomas Zinner
Summary: This study focuses on the effect of parameterized two-qubit gates in the variational quantum eigensolver. By simulating the algorithm using fixed and parameterized two-qubit gates, it is shown that the parameterized versions outperform the fixed versions in terms of best energy and reducing outliers.
ANNALEN DER PHYSIK
(2022)
Article
Quantum Science & Technology
Frederik Kofoed Marqversen, Nikolaj Thomas Zinner
Summary: We discuss the procedure for obtaining measurement-based implementations of quantum algorithms given by quantum circuit diagrams and how to reduce the required resources needed for a given measurement-based computation. This forms the foundation for quantum computing on photonic systems in the near term. To demonstrate that these ideas are well grounded we present three different problems which are solved by employing a measurement-based implementation of the variational quantum eigensolver algorithm (MBVQE). We show that by utilising native measurement-based gates rather than standard gates, such as the standard controlled not gate (CNOT), measurement-based quantum computations may be obtained that are both shallow and have simple connectivity while simultaneously exhibiting a large expressibility. We conclude that MBVQE has promising prospects for resource states that are not far from what is already available today.
QUANTUM SCIENCE AND TECHNOLOGY
(2023)
Article
Optics
Lasse Bjorn Kristensen, Morten Kjaergaard, Christian Kraglund Andersen, Nikolaj Thomas Zinner
Summary: This research presents a hybrid approach combining autonomous correction and traditional measurement-based quantum error correction to correct the dominant phase and decay errors in superconducting qubit architectures. Numerical simulations demonstrate that this scheme can significantly increase the storage time by five to ten times and requires only six qubits for encoding and two ancillary qubits for autonomous correction, leading to a substantial reduction in qubit overhead compared to typical measurement-based error-correction schemes. Furthermore, this scheme can be implemented in a wide range of architectures as it relies on standard interactions and qubit driving available in most major quantum computing platforms.
Article
Chemistry, Multidisciplinary
Marco Majland, Rasmus Berg Jensen, Mads Greisen Hojlund, Nikolaj Thomas Zinner, Ove Christiansen
Summary: The excessive measurement overheads in estimating physical quantities hinder the demonstration of practical quantum advantages for near-term devices. However, the reduction in resource requirements for computing anharmonic, vibrational states remains unexplored compared to its electronic counterpart. Through the manipulation of vibrational systems, such as employing coordinate transformations, we can significantly reduce the number of measurements needed to estimate anharmonic, vibrational states.
Article
Materials Science, Multidisciplinary
A. Alnor, T. Baekkegaard, N. T. Zinner
Summary: Different topological phases of quantum systems have been a focus of research in recent decades. This study goes beyond typical spin-1/2 systems and explores the realization of higher Chern numbers and the emergence of different topological phases using spin-1 systems. The results show that rich topological phase diagrams can be achieved through numerical and analytical methods, and the realistic implementation of spin-1 systems in superconducting circuits holds promise for experimental verification of these theoretical predictions.
Article
Optics
S. E. Rasmussen, N. T. Zinner
Summary: In this paper, the entangling quantum generative adversarial network (EQ-GAN) is investigated for multiqubit learning. It is shown that EQ-GAN can learn circuits more efficiently than SWAP test and generate excellent overlap matrix elements for learning VQE states of small molecules. However, the lack of phase estimation prevents it from directly estimating energy. Additionally, EQ-GAN demonstrates its potential in learning random states.
Article
Physics, Fluids & Plasmas
Kasper Poulsen, Nikolaj T. Zinner
Summary: Heat and noise control are crucial for the development of quantum technologies. Heat rectifiers, which allow for one-way heat transport, are powerful tools for this purpose. We propose a rectifier based on the unidirectionality of a low temperature bath, which can block heat transport in one configuration but allow it in the other.
Article
Optics
Kasper Poulsen, Alan C. Santos, Lasse B. Kristensen, Nikolaj T. Zinner
Summary: This study introduces a class of quantum rectifiers that can improve performance by utilizing quantum entanglement. By coupling two small spin chains through a double-slit interface, rectification can be significantly enhanced, even in small systems, and the effect can withstand noisy environments.
Article
Physics, Fluids & Plasmas
Kasper Poulsen, Marco Majland, Seth Lloyd, Morten Kjaergaard, Nikolaj T. Zinner
Summary: Maxwell's demon is a quintessential example of information control necessary for designing quantum devices. Our study demonstrates that non-Markovian effects can be exploited to optimize the information transfer rate in quantum Maxwell demons.
Article
Physics, Fluids & Plasmas
Karin Wittmann W, E. R. Castro, Angela Foerster, Lea F. Santos
Summary: The onset of quantum chaos in triple-well potential systems of interacting bosons is investigated. Even in its chaotic regime, the system exhibits features reminiscent of integrability.
Article
Physics, Multidisciplinary
R. E. Barfknecht, T. Mendes-Santos, L. Fallani
Summary: This research proposes a method to realize entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. By using a physical Hamiltonian containing position-dependent couplings, the study focuses on reproducing the universal ratios of the entanglement spectrum for systems in two different geometries. The results demonstrate the feasibility of measuring the entanglement spectra of the Heisenberg and XX models in a realistic cold-atom experimental setting using gravity and standard trapping techniques.
PHYSICAL REVIEW RESEARCH
(2021)