Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields

Abstract

We propose spatially inhomogeneous matrix product ansatz for an exact many-body density operator of a boundary driven XXZ quantum circuit. The ansatz has formally infinite bond-dimension and is fundamentally different from previous constructions. The circuit is driven by a pair of reset quantum channels applied on the boundary qubits, which polarize the qubits to arbitrary pure target states. Moreover, one of the reset channels can be replaced by an arbitrary local unitary gate, thus representing a hybrid case with coherent/incoherent driving. Analyzing the ansatz we obtain a family of relatively robust separable nonequilibrium steady states (NESS), which can be viewed as a circuit extension of spin-helix states, and are particularly suited for experimental investigations.

6 pages, 3 figures

References in corpus (22)

• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
• Exact nonequilibrium steady state of a strongly driven open XXZ chain
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
• Integrable Trotterization: Local Conservation Laws and Boundary Driving
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Matrix product solutions of boundary driven quantum chains
• Ballistic spin transport in a periodically driven integrable quantum system
• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
• Formation of robust bound states of interacting microwave photons
• Catching Bethe phantoms and quantum many-body scars: Long-lived spin-helix states in Heisenberg magnets
• Transverse spin dynamics in the anisotropic Heisenberg model realized with ultracold atoms
• Exact nonequilibrium steady state of open XXZ/XYZ spin-1/2 chain with Dirichlet boundary conditions
• Phantom Bethe roots in the integrable open spin $1/2$ $XXZ$ chain
• Steady helix states in a resonant XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• Spin-helix states in the $XXZ$ spin chain with strong dissipation
• Quantum spin helices more stable than the ground state: onset of helical protection
• Boundary driven $XYZ$ chain: Exact inhomogeneous triangular matrix product ansatz
• Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
• Generalized Josephson effect with arbitrary periodicity in quantum magnets