scholarly journals Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate-scale quantum devices

2021 ◽  
Vol 103 (23) ◽  
Author(s):  
Simon Panyella Pedersen ◽  
Nikolaj Thomas Zinner
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Quantum Devices ◽  
Intermediate Scale ◽  
Lattice Gauge

scholarly journals Circuit-based digital adiabatic quantum simulation and pseudoquantum simulation as new approaches to lattice gauge theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Xiaopeng Cui ◽  
Yu Shi ◽  
Ji-Chong Yang
Keyword(s):  
Gauge Theory ◽  
Particle Physics ◽  
Lattice Gauge Theory ◽  
Quantum Phase Transitions ◽  
Rapid Development ◽  
Quantum Simulation ◽  
Quantum Processes ◽  
Perturbative Approach ◽  
Time Dynamics ◽  
Lattice Gauge

Abstract Gauge theory is the framework of the Standard Model of particle physics and is also important in condensed matter physics. As its major non-perturbative approach, lattice gauge theory is traditionally implemented using Monte Carlo simulation, consequently it usually suffers such problems as the Fermion sign problem and the lack of real-time dynamics. Hopefully they can be avoided by using quantum simulation, which simulates quantum systems by using controllable true quantum processes. The field of quantum simulation is under rapid development. Here we present a circuit-based digital scheme of quantum simulation of quantum ℤ2 lattice gauge theory in 2 + 1 and 3 + 1 dimensions, using quantum adiabatic algorithms implemented in terms of universal quantum gates. Our algorithm generalizes the Trotter and symmetric decompositions to the case that the Hamiltonian varies at each step in the decomposition. Furthermore, we carry through a complete demonstration of this scheme in classical GPU simulator, and obtain key features of quantum ℤ2 lattice gauge theory, including quantum phase transitions, topological properties, gauge invariance and duality. Hereby dubbed pseudoquantum simulation, classical demonstration of quantum simulation in state-of-art fast computers not only facilitates the development of schemes and algorithms of real quantum simulation, but also represents a new approach of practical computation.

Finite-Temperature Phase Transitions in SU(3) Lattice Gauge Theory with Dynamical, Light Fermions

1984 ◽  
Vol 53 (7) ◽  
pp. 644-647 ◽  
Author(s):  
J. Polonyi ◽  
H. W. Wyld ◽  
J. B. Kogut ◽  
J. Shigemitsu ◽  
D. K. Sinclair
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Temperature Phase ◽  
Lattice Gauge

scholarly journals Phase transitions in SO(3) lattice gauge theory

1998 ◽  
Vol 57 (11) ◽  
pp. 6618-6624 ◽  
Author(s):  
Saumen Datta ◽  
Rajiv V. Gavai
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge

Phase transitions inU(N)lattice gauge theory in four dimensions

1982 ◽  
Vol 25 (2) ◽  
pp. 610-613 ◽  
Author(s):  
Michael Creutz ◽  
K. J. M. Moriarty
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Four Dimensions ◽  
Lattice Gauge

STUDY OF Z(N) GAUGE THEORIES ON A THREE-DIMENSIONAL PSEUDORANDOM LATTICE

1988 ◽  
Vol 03 (06) ◽  
pp. 1499-1518
Author(s):  
D. PERTERMANN ◽  
J. RANFT
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Expectation Values ◽  
First Order ◽  
Gauge Models ◽  
Lattice Gauge

Using the simplicial pseudorandom version of lattice gauge theory we study simple Z(n) gauge models in D=3 dimensions. In this formulation it is possible to interpolate continuously between a regular simplicial lattice and a pseudorandom lattice. Calculating average plaquette expectation values we look for the phase transitions of the Z(n) gauge models with n=2 and 3. We find all the phase transitions to be of first order, also in the case of the Z(2) model. The critical couplings increase with the irregularity of the lattice.

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