scholarly journals Adiabatic approximation with exponential accuracy for many-body systems and quantum computation

2009 ◽  
Vol 50 (10) ◽  
pp. 102106 ◽  
Author(s):  
Daniel A. Lidar ◽  
Ali T. Rezakhani ◽  
Alioscia Hamma
Keyword(s):  
Quantum Computation ◽  
Adiabatic Approximation ◽  
Many Body ◽  
Exponential Accuracy ◽  
Many Body Systems

The Scattering Equations for Charged Particles Colliding with Many Body Systems

1975 ◽  
Vol 53 (17) ◽  
pp. 1615-1623 ◽  
Author(s):  
T. D. Bui ◽  
A. D. Stauffer
Keyword(s):  
Cross Sections ◽  
Adiabatic Approximation ◽  
Perturbation Technique ◽  
Sodium Atom ◽  
Orbital Method ◽  
Many Body ◽  
First Order ◽  
Atom Scattering ◽  
Alkali Atoms ◽  
Many Body Systems

We have derived the total wave function of a many body system scattering by a charged particle by using a first order perturbation technique (the polarized orbital method). The derivation is based on an adiabatic approximation for the incoming particle. Particular cases of electrons colliding with the alkali atoms are shown. S, P, and D wave phase shifts and the total elastic cross sections for electron–sodium atom scattering are calculated using this method for the energy range 0 to 4 eV.

Strongly correlated quantum walks with a 12-qubit superconducting processor

Science ◽  
2019 ◽  
Vol 364 (6442) ◽  
pp. 753-756 ◽  
Author(s):  
Zhiguang Yan ◽  
Yu-Ran Zhang ◽  
Ming Gong ◽  
Yulin Wu ◽  
Yarui Zheng ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Large Scale ◽  
Quantum Walks ◽  
Superconducting Qubits ◽  
Time Dependent ◽  
Strongly Correlated ◽  
Superconducting Qubit ◽  
Many Body ◽  
Universal Quantum ◽  
Many Body Systems

Quantum walks are the quantum analogs of classical random walks, which allow for the simulation of large-scale quantum many-body systems and the realization of universal quantum computation without time-dependent control. We experimentally demonstrate quantum walks of one and two strongly correlated microwave photons in a one-dimensional array of 12 superconducting qubits with short-range interactions. First, in one-photon quantum walks, we observed the propagation of the density and correlation of the quasiparticle excitation of the superconducting qubit and quantum entanglement between qubit pairs. Second, when implementing two-photon quantum walks by exciting two superconducting qubits, we observed the fermionization of strongly interacting photons from the measured time-dependent long-range anticorrelations, representing the antibunching of photons with attractive interactions. The demonstration of quantum walks on a quantum processor, using superconducting qubits as artificial atoms and tomographic readout, paves the way to quantum simulation of many-body phenomena and universal quantum computation.

scholarly journals Characterizing measurement-based quantum gates in quantum many-body systems using correlation functionsThis paper was presented at the Theory CANADA 4 conference, held at Centre de recherches mathématiques, Montréal, Québec, Canada on 4–7 June 2008.

2009 ◽  
Vol 87 (3) ◽  
pp. 219-224 ◽  
Author(s):  
Thomas Chung ◽  
Stephen D. Bartlett ◽  
Andrew C. Doherty
Keyword(s):  
Quantum Computation ◽  
Quantum State ◽  
Correlation Functions ◽  
Quantum Gates ◽  
Many Body ◽  
Adaptive Measurements ◽  
Many Body Systems ◽  
Resource State

In measurement-based quantum computation (MBQC), local adaptive measurements are performed on the quantum state of a lattice of qubits. Quantum gates are associated with a particular measurement sequence, and one way of viewing MBQC is that such a measurement sequence prepares a resource state suitable for “gate teleportation”. We demonstrate how to quantify the performance of quantum gates in MBQC by using correlation functions on the pre-measurement resource state.

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

scholarly journals Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems

2021 ◽  
Vol 126 (11) ◽  
Author(s):  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Many Body ◽  
Many Body Systems

scholarly journals Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
Norifumi Matsumoto ◽  
Kohei Kawabata ◽  
Yuto Ashida ◽  
Shunsuke Furukawa ◽  
Masahito Ueda
Keyword(s):  
Phase Transition ◽  
Continuous Phase ◽  
Many Body ◽  
Continuous Phase Transition ◽  
Many Body Systems ◽  
Gap Closing

scholarly journals Universal relations for ultracold reactive molecules

2020 ◽  
Vol 6 (51) ◽  
pp. eabd4699
Author(s):  
Mingyuan He ◽  
Chenwei Lv ◽  
Hai-Qing Lin ◽  
Qi Zhou
Keyword(s):  
Critical Role ◽  
Interaction Strength ◽  
Quantum Correlations ◽  
Polar Molecules ◽  
Many Body ◽  
Density Correlation ◽  
Ultracold Polar Molecules ◽  
Unexplored Area ◽  
Many Body Systems

The realization of ultracold polar molecules in laboratories has pushed physics and chemistry to new realms. In particular, these polar molecules offer scientists unprecedented opportunities to explore chemical reactions in the ultracold regime where quantum effects become profound. However, a key question about how two-body losses depend on quantum correlations in interacting many-body systems remains open so far. Here, we present a number of universal relations that directly connect two-body losses to other physical observables, including the momentum distribution and density correlation functions. These relations, which are valid for arbitrary microscopic parameters, such as the particle number, the temperature, and the interaction strength, unfold the critical role of contacts, a fundamental quantity of dilute quantum systems, in determining the reaction rate of quantum reactive molecules in a many-body environment. Our work opens the door to an unexplored area intertwining quantum chemistry; atomic, molecular, and optical physics; and condensed matter physics.

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