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We synthesized single crystals of composition Ba$_2$CuSi$_2$O$_6$Cl$_2$ andinvestigated its quantum magnetic properties. The crystal structure is closelyrelated to that of the quasi-two-dimensional (2D) dimerized magnetBaCuSi$_2$O$_6$ also known as Han purple. Ba$_2$CuSi$_2$O$_6$Cl$_2$ has asinglet ground state with an excitation gap of ${\Delta}/k_{\rm B}\,{=}\,20.8$K. The magnetization curves for two different field directions almost perfectlycoincide when normalized by the $g$-factor except for a small jump anomaly fora magnetic field perpendicular to the $c$ axis. The magnetization curve with anonlinear slope above the critical field is in excellent agreement withexact-diagonalization calculations based on a 2D coupled spin-dimer model.Individual exchange constants are also evaluated using density functionaltheory (DFT). The DFT results demonstrate a 2D exchange network and weakfrustration between interdimer exchange interactions, supported by weakspin-lattice coupling implied from our magnetostriction data. Themagnetic-field-induced spin ordering in Ba$_2$CuSi$_2$O$_6$Cl$_2$ is describedas the quasi-2D Bose-Einstein condensation of triplets.

Quasi-two-dimensional Bose-Einstein condensation of spin triplets in dimerized quantum magnet Ba$_2$CuSi$_2$O$_6$Cl$_2$