Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Modern Physics Letters B

GEOMETRIC PHASE OF SPIN CHAIN SYSTEM IN THE NONEQUILIBRIUM THERMAL ENVIRONMENTS

Xiu-Xing Zhang, Aiping Zhang, Jia Zhang, Wang Ju-xia

Published Apr 11, 2013• 5 citations
Publisher

Abstract

In this paper, we investigate the nonequilibrium geometric phase (GP) of a spin chain system whose two end spins are respectively coupled to thermal reservoirs at different temperatures. In the spin chain, there exists the XX-type spin interaction and an external field is applied to each spin. An analytical expression for the GP is found in the weak coupling limit. The influences of various parameters on the deviation of GP from the unitary one are investigated. It is found that the GP is more stable against the decoherence when the external field is homogenously applied. In addition, the present result may provide a useful approach to the maintenance of GP in the nonequilibrium system.

DOI
10.1142/s0217984913500784

Related papers

Detecting multi-spin interaction of an XY spin chain by geometric phase of a coupled qubit

Xiu-Xing Zhang, Ai-Ping, Zhang, Li Fu-Li

We investigate geometric phase (GP) of a qubit symmetrically coupled to a XY spin chain with three-spin interaction in a transverse magnetic field. An analytical expression for the GP is found in the weak coupling limit. It is shown that the GP displays a sharp peak or dip around the quantum phase transition (QPT) point of the spin chain. Without the three-spin interaction, the GP has a peak or dip around the critical point $λ=1$. If the three-spin interaction exists, the peak or dip position is obviously shifted away from the original position. This result reveals that the GP may be taken as an observable to detect both the existence and strength of multi-spin interaction in a spin chain.

arXiv:1204.2627•Apr 12, 2012•0 citations

Geometric Phase for a Qutrit-Qubit Mixed-Spin System

Aiping Zhang, Wen-Chao Qiang, Ya-Wen Ling +2 more

We study the geometric phase of a qutrit-qubit mixed-spin system in an external homogeneous magnetic field. Both the spin-spin interaction strength J and the external magnetic field B can affect the geometric phase of the system. In addition, we consider the negativity of the composite system. The relationship between the negativity and the geometric phase is obtained. Finally, we calculate the geometric phase for a thermal mixed state and show how the geometric phase depends on the rescaled coupling parameter and temperature. In the limit T → 0, we can recover the result of the ground state. This analysis has some implications in realistic implementations of geometric quantum computation.

Chinese Physics Letters•Aug 1, 2011•1 citation

Nonequilibrium phases and phase transitions of the XY model

Tharnier O. Puel, Stefano Chesi, Stefan Kirchner +1 more

We obtain the steady-state phase diagram of a transverse-field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a current-carrying nonequilibrium steady state. We characterize the different nonequilibrium phases as functions of the chain's parameters and magnetic potentials, in terms of their correlation functions and entanglement content. The mixed-order transition, previously observed for the case of a transverse-field Ising chain, is established to emerge as a generic feature of a wider class of out-of-equilibrium problems. The critical exponents associated with this universality class are determined analytically. Results are also contrasted with those obtained in the limit of Markovian reservoirs. Our findings should prove helpful in establishing the properties of nonequilibrium phases and phase transitions of extended open quantum systems.

arXiv:2009.06845•Physical review. B./Physical review. B•Jan 7, 2021•9 citations

Thermal negativity in a two qubit XXX and XX spin chain model in an external magnetic field

M Ghasemloo, N Nikdel, Mohammad Reza Soltani +2 more

In this paper we studied the thermal negativity in a two-qubit XX spin ½ chain model and XXX spin 1/2 chain model(isotropic Heisenberg model)spin-1/2 chain subjected to an external magnetic field in z direction. We calculate analytical relation for the thermal negativity for two qubit XX and XXX spin chain models in the external magnetic field. Effects of the magnetic field and temperature on the negativity are shown. We have also plotted two kind of behavior in the thermal negativity which scales by magnetic field and temperature. It is shown that when the magnetic field along in axis z is considerable, thermal negativity can be decrease for higher temperature. We found the critical temperature of negativity for XX spin chain model and XXX spin chain model with added external magnetic field where there are independent from magnetic field. We also have shown in both of two models after T=TC the negativity is zero. We find the critical temperature for this models and show that the critical temperature is independent of magnetic field. We found that the negativity with increasing the temperature T, at first the quantum correlations in the system increase, smoothly reaches the maximum, and then after the critical temperature turn into zero.

Journal of Physical & Theoretical Chemistry•Jul 1, 2013•1 citation

Fluctuations of the heat exchanged between two quantum spin chains

Gabriel Teixeira Landi, Dragi Karevski

The statistics of the heat exchanged between two quantum XX spin chains prepared at different temperatures is studied within the assumption of weak coupling. This provides simple formulas for the average heat and its corresponding characteristic function, from which the probability distribution may be computed numerically. These formulas are valid for arbitrary sizes and therefore allow us to analyze the role of the thermodynamic limit in this nonequilibrium setting. It is found that all thermodynamic quantities are extremely sensitive to the quantum phase transition of the XX chain.

arXiv:1412.4230•Physical review. E•Mar 14, 2016•15 citations

Origin of Temperature Gradient in Nonequilibrium Steady States in Weakly Coupled Quantum Spin Systems

Toyohiko Ishida, Ayumu Sugita

We study nonequilibrium steady states (NESSs) in quantum spin-1/2 chains in contact with two heat baths at different temperatures.We consider the weak-coupling limit both for spinspin coupling in the system and for system-bath coupling.This setting allows us to treat NESSs with a nonzero temperature gradient analytically.We develop a perturbation theory for this weak-coupling situation and show a simple condition for the existence of nonzero temperature gradient.This condition is independent of the integrability of the system.

arXiv:1704.01731•Journal of the Physical Society of Japan•Jun 27, 2016•1 citation
In this paper, we investigate the nonequilibrium geometric phase (GP) of a spin chain system whose two end spins are respectively coupled to thermal reservoirs at different temperatures. In the spin chain, there exists the XX-type spin interaction and an external field is applied to each spin. An analytical expression for the GP is found in the weak coupling limit. The influences of various parameters on the deviation of GP from the unitary one are investigated. It is found that the GP is more stable against the decoherence when the external field is homogenously applied. In addition, the present result may provide a useful approach to the maintenance of GP in the nonequilibrium system.
We investigate geometric phase (GP) of a qubit symmetrically coupled to a XY spin chain with three-spin interaction in a transverse magnetic field. An analytical expression for the GP is found in the weak coupling limit. It is shown that the GP displays a sharp peak or dip around the quantum phase transition (QPT) point of the spin chain. Without the three-spin interaction, the GP has a peak or dip around the critical point λ=1λ=1λ=1. If the three-spin interaction exists, the peak or dip position is obviously shifted away from the original position. This result reveals that the GP may be taken as an observable to detect both the existence and strength of multi-spin interaction in a spin chain.
We study the geometric phase of a qutrit-qubit mixed-spin system in an external homogeneous magnetic field. Both the spin-spin interaction strength J and the external magnetic field B can affect the geometric phase of the system. In addition, we consider the negativity of the composite system. The relationship between the negativity and the geometric phase is obtained. Finally, we calculate the geometric phase for a thermal mixed state and show how the geometric phase depends on the rescaled coupling parameter and temperature. In the limit T → 0, we can recover the result of the ground state. This analysis has some implications in realistic implementations of geometric quantum computation.
We obtain the steady-state phase diagram of a transverse-field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a current-carrying nonequilibrium steady state. We characterize the different nonequilibrium phases as functions of the chain's parameters and magnetic potentials, in terms of their correlation functions and entanglement content. The mixed-order transition, previously observed for the case of a transverse-field Ising chain, is established to emerge as a generic feature of a wider class of out-of-equilibrium problems. The critical exponents associated with this universality class are determined analytically. Results are also contrasted with those obtained in the limit of Markovian reservoirs. Our findings should prove helpful in establishing the properties of nonequilibrium phases and phase transitions of extended open quantum systems.
In this paper we studied the thermal negativity in a two-qubit XX spin ½ chain model and XXX spin 1/2 chain model(isotropic Heisenberg model)spin-1/2 chain subjected to an external magnetic field in z direction. We calculate analytical relation for the thermal negativity for two qubit XX and XXX spin chain models in the external magnetic field. Effects of the magnetic field and temperature on the negativity are shown. We have also plotted two kind of behavior in the thermal negativity which scales by magnetic field and temperature. It is shown that when the magnetic field along in axis z is considerable, thermal negativity can be decrease for higher temperature. We found the critical temperature of negativity for XX spin chain model and XXX spin chain model with added external magnetic field where there are independent from magnetic field. We also have shown in both of two models after T=TC the negativity is zero. We find the critical temperature for this models and show that the critical temperature is independent of magnetic field. We found that the negativity with increasing the temperature T, at first the quantum correlations in the system increase, smoothly reaches the maximum, and then after the critical temperature turn into zero.
The statistics of the heat exchanged between two quantum XX spin chains prepared at different temperatures is studied within the assumption of weak coupling. This provides simple formulas for the average heat and its corresponding characteristic function, from which the probability distribution may be computed numerically. These formulas are valid for arbitrary sizes and therefore allow us to analyze the role of the thermodynamic limit in this nonequilibrium setting. It is found that all thermodynamic quantities are extremely sensitive to the quantum phase transition of the XX chain.
We study nonequilibrium steady states (NESSs) in quantum spin-1/2 chains in contact with two heat baths at different temperatures.We consider the weak-coupling limit both for spinspin coupling in the system and for system-bath coupling.This setting allows us to treat NESSs with a nonzero temperature gradient analytically.We develop a perturbation theory for this weak-coupling situation and show a simple condition for the existence of nonzero temperature gradient.This condition is independent of the integrability of the system.