Litcius/Paper detail

Explicit Construction of Local Conserved Quantities in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="italic">X</mml:mi><mml:mi mathvariant="italic">Y</mml:mi><mml:mi mathvariant="italic">Z</mml:mi></mml:mrow></mml:math> Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> Chain

Yuji Nozawa, Kohei Fukai

2020Physical Review Letters34 citationsDOIOpen Access PDF

Abstract

We present a rigorous explicit expression for an extensive number of local conserved quantities in the XYZ spin-1/2 chain with general coupling constants. All the coefficients of operators in each local conserved quantity are calculated. We also confirm that our result can be applied to the case of the XXZ chain with a magnetic field in the z-axis direction.

Topics & Concepts

Field (mathematics)Chain (unit)Conserved quantityPhysicsAlgorithmCombinatoricsMathematical physicsComputer scienceMathematicsPure mathematicsQuantum mechanicsQuantum many-body systemsAlgebraic structures and combinatorial modelsQuantum and electron transport phenomena
Explicit Construction of Local Conserved Quantities in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="italic">X</mml:mi><mml:mi mathvariant="italic">Y</mml:mi><mml:mi mathvariant="italic">Z</mml:mi></mml:mrow></mml:math> Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> Chain | Litcius