  We investigate the stationary entanglement and stationary nonlocality of two
qubits collectively interacting with a common thermal environment. We assume
two qubits are initially in Werner state or Werner-like state, and find that
thermal environment can make two qubits become stationary nonlocality. The
analytical relations among average thermal photon number of the environment,
entanglement and nonlocality of two qubits are given in details. It is shown
that the fraction of Bell singlet state plays a key role in the phenomenon that
the common thermal reservoir can enhance the entanglement of two qubits.
Moreover, we find that the collective decay of two qubits in a thermal
reservoir at zero-temperature can generate a stationary maximally entangled
mixed state if only the fraction of Bell singlet state in the initial state is
not smaller than 2/3. It provides us a feasible way to prepare the maximally
entangled mixed state in various physical systems such as the trapped ions,
quantum dots or Josephson Junctions. For the case in which two qutrits
collectively coupled with the thermal reservoir at zero-temperature, we find
that the collective decay can induce the entanglement of two qutrits initially
in the maximally mixed state. The collective decay of two qutrits can also
induce distillable entanglement from the initial conjectured negative partial
transpose bound entangled states.
