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By means of a unitary transformation, we propose an ansatz to study quantumphase transitions in the ground state of a two-qubit system interacting with adissipative reservoir. First, the ground state phase diagram is analyzed in thepresence of the Ohmic and sub-Ohmic bath using an analytic ground state wavefunction which takes into account the competition between intrasite tunnelingand intersite correlation. The quantum critical point is determined as thetransition point from non-degenerate to degenerate ground state and ourcalculated critical coupling strength $\alpha_c$ agrees with that from thenumerical renormalization group method. Moreover, by computing the entanglemententropy between the qubits and the bath as well as the qubit-qubit correlationfunction in the ground state, we explore the nature of the quantum phasetransition between the delocalized and localized states.

An ansatz to the quantum phase transition in a dissipative two-qubit system